Answer:
1500(1.02)^x + 600x is how much he has in savings at the end of x years where it be in the bank or elsewhere
Step-by-step explanation:
x is in years
Let's just think about the investment of 1500 in an account earning 2% per year.
Before the years even start, you are at 1500 ( present value).
The next year (year 1), it would be 1500*.02+1500=(1500)(1.02).
The next year (year 2), it would be 1500(1.02)(.02)+1500(1.02)=1500(1.02)(1.02).
We keep multiplying factors of (1.02) each time.
So for year x, you would have saved 1500(1.02)^x.
Now we are saving 50 cash per month. Per year this would be 12(50) since there are 12 months in a year. 12(50)=600.
So the first year you would have 600.
The second year you would have 600(2) or 1200.
The third year you would have 600(3) or 1800.
Let's put this together:
1500(1.02)^x + 600x
The system of equations y= 1/4x-5 and y= -1/2x-3 is shown on the graph below.
Which statement is true about the solution to the system of equations?
The x-value is between 2 and 3, and the y-value is between –4 and –5.
The x-value is between –4 and –5, and the y-value is between 2 and 3.
The x-value is between –2 and –3, and the y-value is between 4 and 5.
The x-value is between 4 and 5, and the y-value is between –2 and –3.
Answer:
the first one x value is between 2 and 3, and the y value is between -4 and -5
Step-by-step explanation:
Multiply the first equation for 4 and second equation by 3
y=1/4x-5 (x4) Then, 4y= x-20
y=-1/2x-3 (x3) Then, 2y=-x-6
From the fist equation we organize the equation as y= (x-20)/4
and we add this value of y on the second equation
2((x-20)/4)=-x-6 the number 4 goes to the other side multiply x-6 and number 2 on the other side multiply x-20
Then, 2x -40= -4x-24 then we put x in one side and numbers on the other
2x+4x = -24+40
Then. 6x = 16 then x= 2.66 => x is between 2 and 3
Then this value of X goes to the first equation y = (2.66-20 )/ 4
y= - 4.33 the value y is between -4 and -5
Answer:
A: The x-value is between 2 and 3, and the y-value is between –4 and –5.
Step-by-step explanation:
If Sarah is 24 years younger than her mother and if the um of their ages is 68, how old is Sarah? x best represents 1. Sarah's age 2. the mother's age. x-24 best represents 1.sarah's age 2. mother's age
Answer:
22
Sarah's age is best represented by M-24 or as the question used x-24 where the mother's age is best represented by M where the question used x.
Step-by-step explanation:
We are given that Sarah (S) is 24 years younger than her mother (M).
So S=M-24.
We are given that Sarah (S) and her mom's age adds up to 68.
So S+M=68.
We are going to solve this system by substitution since one of the variables is solved for. I'm going to plug first equation into second like so:
(M-24)+M=68 I replaced S with M-24.
M+M-24=68 Put like terms together.
2M-24 =68 Combined the like terms.
2M = 92 Added 24 on both sides.
M = 92/2 Divided 2 on both sides.
M = 46 Simplified the 92/2.
So her mother's age is 46.
We know that S=M-24 so S=46-24=22.
Sarah is 22 years old.
3. Name the plane shown in the figure.
A. Plane GDH
B. Plane FCF
C. Pane EGF
D. Pane ACS
the name of the plane is C. plane EGF
What is the exponential form of the following expression
(-5)(-5)(-5) •c•c•c
The expression will be [tex]\[ (-125) \cdot c^3 \][/tex]
The exponential form of the expression [tex]\((-5)(-5)(-5) \cdot c \cdot c \cdot c\)[/tex] can be calculated as follows:
First, simplify the multiplication of the negative numbers:
[tex]\[ (-5)(-5)(-5) = (-125) \][/tex]
Next, simplify the multiplication of the variables:
[tex]\[ c \cdot c \cdot c = c^3 \][/tex]
Now, combine the results:
[tex]\[ (-125) \cdot c^3 \][/tex]
The final exponential form of the expression is:
[tex]\[ (-125) \cdot c^3 \][/tex]
Here's a step-by-step explanation of the calculation:
1. Multiply the negative numbers:
[tex]\[ (-5)(-5) = 25 \][/tex]
Multiply 25 by -5 again:
[tex]\[ 25 \cdot (-5) = -125 \][/tex]
2. Multiply the variables:
[tex]\[ c \cdot c = c^2 \]\\ Multiply \(c^2\) by c again:\\ \[ c^2 \cdot c = c^3 \][/tex]
3. Combine the results:
[tex]\[ (-125) \cdot c^3 \][/tex]
That's the final exponential form of the given expression.
Complete Question:
What is the exponential form of the following expression
(-5)(-5)(-5) •c•c•c
Select the correct answer from the drop-down menu.
The graph shows a proportional relationship between the distance a car travels and the fuel it consumes.
Answer:
2.5 gallons
Step-by-step explanation:
We need to go 100 miles
Write the proportion
Picking a point on the graph (40 miles, 1 gallon)
100 miles 40 miles
-------------- = -------------
x gallons 1 gallon
Using cross products
100 * 1 = 40 *x
Divide each side by 40
100/40 = 40x/4
2.5 =x
We need 2.5 gallons to go 100 miles
Answer: Based on the graph, the car requires 2.5 gallons of fuel to travel 100 miles.
Look at the picture below for help. The blue dot represents were the two points meet. We are trying to figure out how many gallons are for the 100 miles, 100 miles would be on the side that says distance (miles). That is were you start. Find point 100 on the distance (miles) side and just draw a straight line, stopping when you hit the black line on the graph. Once done, draw another line going straight down from the black line, and you get your answer of 2.5
Answer: 2.5
Hope it helps!
What is 1/2 divided by 3?
Answer:
1/6
Step-by-step explanation:
(1/2)/3
To solve, note that there are 2 denominators in all. To solve, multiply the denominators together:
(1/2)/3 = 1/(2 * 3) = 1/6
1/6 is your answer.
~
Answer:
0.16
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
Exact form: 1/6
Decimal form: 0.16
Which of the following ordered pairs is represented by a point located on the x-axis?
Select one:
a.(6,-6)
b. (3,3)
c. (0,8)
d. (-5,0)
Answer:
d (-5,0)
Step-by-step explanation:
x-coordinate moves a point left or right from the origin.
y-coordinate moves a point down or up form the origin.
So we don't want any down or up, so we want y to be 0.
If a point is located on the x-axis, then the y-coordinate is 0.
d is the only point that sits on the x-axis. I know this because it's y-coordinate is 0.
(0,8) is actually a point sitting on the y-axis.
Answer:
(D) (-5,0)
Step-by-step explanation:
Find the slope of the line that passes through the points (2, 4) and (6, 9).
Answer:
slope = [tex]\frac{5}{4}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (2, 4) and (x₂, y₂ ) = (6, 9)
m = [tex]\frac{9-4}{6-2}[/tex] = [tex]\frac{5}{4}[/tex]
write an equation for the line that passes through (-1,4) with a slope of -10
Answer:
y = - 10x - 6
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here slope m = - 10, hence
y = - 10x + c ← is the partial equation
To find c substitute (- 1, 4) into the partial equation
4 = 10 + c ⇒ c = 4 - 10 = - 6
y = - 10x - 6 ← equation of line
I need help please help me
Answer:
10 ≥ ⅛c + ¼d
Step-by-step explanation:
They budgeted up to 10 gallons of water, meaning that it CANNOT exceed 10. When turned around, you will see that everything is less than or equal to 10.
I am joyous to assist you anytime.
Complete question:
A small kennel has budgeted to provide 10 gallons of water for its animals. Each cat receive one eight of a gallon per day and each dog receives one fourth of a gallon per day . Which inequality correctly represent the scenario.
a. 10 < -1/8c - 1/4d
b. 10 ≤ 1/8c + 1/4d
c 10 ≥ -1/8c - 1/4d
d. 10 ≥ 1/8c + 1/4d
Answer:
d. 10 ≥ 1/8c + 1/4d
Step-by-step explanation:
The kennel was budgeted to provide 10 gallons of water for its animals. The cat receives 1/8 of a gallon per day and each dog receive 1/4 of a gallon per day.
Since 10 gallons was budgeted for the animals the sum of the a gallon per day for the cat and dog will most likely not exceed 10 gallons. The animals will most likely consume less than the budgeted value or equals to the budgeted value.
note that the sum of 1/8 of a gallon for the cat and 1/4 of a gallon for the dog should be either less than 10 or equals to 10. This means 10 ≥ 1/8c + 1/4d .
6y - 5x = 5 and x= 2y + 7
please help asap will mark brainliest
Answer:
C
Step-by-step explanation:
Person A bought 3 tickets for 191
The price per ticket is 191/3 =63.67
Person B bought 5 tickets for 309
The price per ticket is 309/5 =61.80
Person C bought 8 tickets for 435
The price per ticket is 435/8 =54.38
The lowest price per ticket is 54.38
Person C paid the lowest price per ticket
Evaluate the function for the indicated values of x.
Answer:
[tex]f( - 10) = 2(-10)+1[/tex]
which is then equal to-19
[tex]f(2)=2^2 \\ [/tex]
which is then equal to 4
[tex]f(-1)=1^2 \\ [/tex]
which is then equal to 1
[tex]f(8)=3-8 \\ [/tex]
which is then equal to -5
Answer:
In the explanation:
Step-by-step explanation:
f(-10) means we need to find the piece so that x is also satisfied.
So we have x=-10 here. Which of your pieces satisfy that?
Well [tex]-10 \le -5[/tex] so the first piece.
[tex]f(-10)=2(-10)+1=-20+1=-19[/tex].
f(2) means we find the piece so that x is also satisfied.
So we have x=2 here. Which of your pieces satisfy that?
Well [tex]-5<2<5[/tex] so the second piece.
[tex]f(2)=(-2)^2=4[/tex].
f(-5) means we use the piece that satisfied x=-5.
-5 equals -5 and the equals -5 part is included in the first piece.
[tex]f(-5)=2(-5)+1=-10+1=-9[/tex]
f(-1) means use the piece so that x=-1 is satisfied.
-1 is between -5 and 5 so use [tex]x^2[/tex]
[tex]f(-1)=(-1)^2=1[/tex]
f(8) means use the piece so that x=8 is satisfied.
9 is greater than 5 so we use the third piece.
[tex]f(8)=3-8=-5[/tex]
It looks like you have all the answers and you are trying to figure out why.
Let's do another problem.
What piece would you use if I asked you to evaluate:
f(-2)?
x=-2 satisfies the [tex]-5<x<5[/tex] so we use the [tex]x^2[/tex]
[tex]f(-2)=(-2)^2=4[/tex]
f(-6)?
x=-6 satisfies the [tex]x \le -5[/tex] so we use the [tex]2x+1[/tex]
[tex]f(-6)=2(-6)+1=-12+1=-11[/tex]
f(7)?
x=7 satisfies [tex]x \ge 5[/tex] so we use [tex]3-x[/tex]
[tex]f(7)=3-7=-4[/tex]
I will post the answers here after you had time to think about it.
Someone please please help me with this math problem I’m really bad at graphs
Answer:
[tex]y + 2 = - (x - 4)[/tex]
Step-by-step explanation:
The graph passes through: (0,2) and (2,0)
The slope is
[tex] \frac{0 - 2}{2 - 0} = - 1[/tex]
The equation of the line in point-slope form is given by:
[tex]y-y_1=m(x-x_1)[/tex]
The graph passes through (4,-2).
We substitute the slope and this point to get:
[tex]y - - 2 = - 1(x - 4)[/tex]
[tex]y + 2 = - (x - 4)[/tex]
The first option is correct
Find the product (y^2)^5 x y^8
Answer:
y^18
Step-by-step explanation:
(y^2)^5 x y^8
Assuming the x is multiplication
We know (a^b)^c = a^(b*c)
(y^2)^5 = y^(2*5) = y^10
We are multiplying this by y^8
We know a^b * a^c = a^(b+c)
y^10* y^8 = y^(10+8) = y^18
Assuming the x is a variable
We know (a^b)^c = a^(b*c)
(y^2)^5 = y^(2*5) = y^10
We are multiplying this by y^8
We know a^b * a^c = a^(b+c)
y^10* y^8 = y^(10+8) = y^18
This is multiplies by x
x y^18
Answer:
[tex]\Huge \boxed{xy^1^8}[/tex]
Step-by-step explanation:
Exponent rule: [tex]\displaystyle (a^b)^c=a^b^c[/tex]
[tex]\displaystyle y^2^\times^5[/tex]
Multiply.
[tex]\displaystyle 2\times5=10[/tex]
[tex]\displaystyle y^1^0^+^8[/tex]
Add.
[tex]\displaystyle 10+8=18[/tex]
[tex]\large \boxed{xy^1^8}[/tex], which is our answer.
How do you write numbers in scientific notation? 0.0021
Answer: I know you prob don't need this answer anymore but this is for the people who look it up and need it.
Step-by-step explanation:
It's 2.1*10^-3
[tex]2.1 \times 10^{-3[/tex] is the scientific notation of the given number.
To write in scientific notation,
Write the non-zero digits as a decimal number between 1 and 10. In this case, we have 2.1.Count the number of decimal places you moved the decimal point to get the original number. In this case, the decimal point was moved 3 places to the right to get from 0.0021 to 2.1.Write the number in the form of [tex]a \times 10^b[/tex], where a is the decimal number from step 3, and b is the number of decimal places you moved the decimal point in step 4. In this case, the number 0.0021 can be written as [tex]2.1 \times 10^{-3[/tex].So, in scientific notation, 0.0021 is written as [tex]2.1 \times 10^{-3[/tex].
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may somebody help please me thank you so much
Answer:
45
Step-by-step explanation:
Here are two ways of solving this problem.
Method 1:
Term 1 is 2.
Term 2 is 3.
Term 3 is 4.
Each term is 1 more than the term number.
The 44th term is 45.
Method 2:
Using the hint
Find the common difference: 5 - 4 = 1
The common difference is 1.
1st term + (common difference)(desired term - 1)
2 + 1(44 - 1) = 2 + 43 = 45
Answer: 45
please help. look at the picture.
Answer:
33
Step-by-step explanation:
Line 1: 2
Line 2: 2 * 2 - 1 = 3
Line 3: 2 * 3 - 1 = 5
Line 4: 2 * 5 - 1 = 9
Line 5: 2 * 9 - 1 = 17
Line 6: 2 * 17 - 1 = 33
A rectangle is 9 ft long and 40 in. wide. What is its
area in square feet?
Answer:
29.97 square feet
Step-by-step explanation:
Given
The length of rectangle = 9 ft
The width of rectangle = 40 in
We have to bring the length and width in same unit. As the area is required in square feet so we will convert width in feet
The width will be divided by 12 to be onverted into feet
So,
Width = 40/12 = 3.33 feet
Now
Area = Length * width
= 9 * 3.33
= 29.97 square feet ..
Answer:
Area of rectangle = 30 square feet
Step-by-step explanation:
We are given that a rectangle is 9 feet long and 40 inches wide and we are to find its area in square feet.
For this, we will covert the width of the rectangle to feet and then find the area.
We know that:
[tex]\frac{1 foot}{x} =\frac{12 inches}{40}\\x=3.3 feet[/tex]
So width in feet is 3.3 feet.
Area of rectangle = [tex]9 \times 3.33[/tex] = 30 square feet
Okay so i really need help anyways soon as possible!
Answer:
Isolate the variables in all cases. Note the equal sign, what you do to one side, you do to the other.
a) 3x = 18
Isolate the variable, x. Divide 3 from both sides:
(3x)/3 = (18)/3
x = 18/3
x = 6
b) 2x = 9
Isolate the variable, x. Divide 2 from both sides:
(2x)/2 = (9)/2
x = 9/2
x = 4.5
c) (x/5) = 7
Isolate the variable, x. Multiply 5 to both sides:
(x/5)(5) = (7)(5)
x = 7 * 5
x = 35
d) x/2 = 6.5
Isolate the variable, x. Multiply 2 to both sides:
(x/2)(2) = (6.5)(2)
x = 6.5 * 2
x = 13
~
a) 3x = 18
x = 6
____________
b) 2x = 9
x = 4.5
____________
c) (x/5) = 7
x = 35
____________
d) x/2 = 6.5
x = 13
____________
Have a great day!
A couch advertised for $500 can be purchased
for a down payment of $200 plus 5 equal
monthly installments. What is the amount of
each monthly payment?
How much is it ?
Answer:
$60 a month is the answer
Step-by-step explanation:
$200 down payment leaves you with $300's to pay still. Divide the $300's by 5 and that leaves you with $60 a month.
(2 3/4) to the second power
[tex]\bf ~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] ~\dotfill\\\\ \left( 2^{\frac{3}{4}} \right)^2\implies 2^{\frac{3}{4}\cdot 2}\implies 2^{\frac{3}{2}}\implies \sqrt[2]{2^3}\implies \sqrt{2^{2+1}}\implies \sqrt{2^2\cdot 2}\implies 2\sqrt{2}[/tex]
Question 25 of 34
5 Points
If f(x) = 5x - 6, which of these is the inverse of f(x)?
Answer:
[tex]f^{-1}[/tex] (x ) = [tex]\frac{x+6}{5}[/tex]
Step-by-step explanation:
Let y = f(x) and rearrange making x the subject, that is
y = 5x - 6 ( add 6 to both sides )
y + 6 = 5x ( divide both sides by 5 )
x = [tex]\frac{y+6}{5}[/tex]
Change y back into terms of x
[tex]f^{-1}[/tex] (x ) = [tex]\frac{x+6}{5}[/tex]
Suppose that a company's annual sales were $1,200,000 in 1999. The annual growth rate of sales from 1999 to 2000 was 16 percent, from 2000 to 2001 it was −5 percent, and from 2001 to 2002 it was 22 percent.
The geometric mean growth rate of sales over this three-year period is calculated as 10.37 percent. Use the geometric mean growth rate and determine the forecasted sales for 2004.
Step-by-step explanation:
A = P (1 + r)^t
Given that P = $1,200,000, r = 0.1037, and t = 5:
A = $1,200,000 (1 + 0.1037)^5
A = $1,965,334.41
Round as needed.
Answer:
The forecasted sales for 2004 is $1965281.
Step-by-step explanation:
The annual sales in 1999 were = $1,200,000
Let geometric mean growth rate = r
we have now p = $1,200,000,
r = 10.37% or 0.1037
t = 5:
We have the formula Amt= [tex]p(1+r)^{t}[/tex]
Amt =[tex]1200000(1+0.1037)^{5}[/tex]
Solving this we get;
[tex]1200000\times1.63777=1965324[/tex]
A = $1,965,324
a direct variation function contains the points (2,14) and (4,28). which equation represents the function?
[tex]\bf \begin{array}{ccll} x&y\\ \cline{1-2}\\ 2&\stackrel{2\cdot 7}{14}\\\\ 4&\stackrel{4\cdot 7}{28}\\\\ x&x\cdot 7 \end{array}~\hspace{7em}y=7x[/tex]
Answer:
y = 7x
Step-by-step explanation:
A direct variation is of the form
y = kx where k is the constant of variation
We have the point (2,14)
Substituting this in
14 = k*2
Divide each side by 2
14/2 =2k/2
7 =k
The direct variation equation is y = 7x
A class trip to a beach has been planned for your senior trip. The resort only allows swimming when the temperature is between 75 degrees and 110 degrees. There is room for 50 people on your trip. Write the constraints to represent this real-world problem, where x is the temperature and y is the number of people on your trip
A
[tex]0 < x \leqslant 50 \: and \: 75 < y < 110[/tex]
B
[tex]x > 75 \: and \: y < 110[/tex]
C
[tex]75 < x < 110 \: and \: 0 < y \leqslant 50[/tex]
D
[tex]x < 110 \: and \: y > 75[/tex]
Answer:
[tex]\large\boxed{C.\ 75<x<110\ and\ 0<y\leq50}[/tex]
Step-by-step explanation:
x - the temperature
y - the number of people
the temperature is between 75 degrees and 110 degrees:
75 < x < 110
the room for 50 people:
0 < y ≤ 50
Answer:
C
Step-by-step explanation:
We know x is more than 75
75<x
and there is room for 50 people and we have to use y
0<y<110
_^
The only possible answer is C hope this helps :)
Before taxes and other deductions, your pay for last week was $230.40. You worked 30 hours. How much were you paid per hour?
[tex]\large\boxed{7.68\,\text{per hour}}[/tex]
Step-by-step explanation:In this question, we're trying to find how much you made per hour.
We can answer this question using the information given in the question.
Important information:
You were paid $230.40 last weekWorked for 30 hoursWith the information above, we can solve the question.
We would simply divide 230.40 by 30 in order to find how much you made per hour.
Lets divide:
[tex]230.40\div30=7.68[/tex]
When you're done dividing, you should get 7.68
This means that you made 7.68 per hour.
I hope this helped you out.Good luck on your academics.Have a fantastic day!For this case you must find the payment per hour, for this we must make a division. We divide the payment of the week between hours worked, then:
[tex]\frac {230.40} {30} = 7.68[/tex]
Thus, the hourly payment was $7.68
Asnwer:
$7.68
What is the solution set of {XIX<-5} n {x 1 x > 5}?
1)all numbers less than -5 and greater than 5
2)the numbers between -5 and 5
3)the empty set
4)all real numbers
Answer:
1)all numbers less than -5 and greater than 5
Step-by-step explanation:
We are given
x<-5
and
x>5
So
Looking at both the inequalities one by one, The solution will consist of all the numbers that are less than -5 and greater than 5. The numbers between -5 and 5 will be excluded from the solution..
Hence,
1)all numbers less than -5 and greater than 5
is correct ..
The intersection of the sets {X|X<-5} and {x|x>5}, which represents numbers that fulfill both conditions, results in no real numbers, or the empty set.
Explanation:The solution set of the given intersection of the two sets {X|X<-5} and {x|x>5} is defined as the set of numbers that fulfill both conditions: numbers less than -5 and numbers greater than 5.
However, there are no real numbers that can be both less than -5 and greater than 5 at the same time. Therefore, when these two sets intersect, the result is an empty set.
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What is the measurement of angle A to the nearest degree? a0degree
Answer:
The measure of angle A is 51 degrees
Answer:
The measure of an angle A=[tex]1^{\circ}[/tex].
Step-by-step explanation:
We are given that an angle [tex]95^{\circ}[/tex] and two sides are 7 in and 9 in in a given figure.
We have to find the value of measurement of angle A.
To find the measurement of angle A we apply sine law.
Sine law:[tex]\frac{a}{sin \alpha}=\frac{b}{sin\beta}=\frac{c}{sin \gamma}[/tex]
Where side a is opposite to angle [tex]\alpha[/tex]
Side b is opposite to angle [tex]\beta[/tex]
Side c is opposite to angle[tex] \gamma[/tex]
We are given an angle 95 degrees and opposite side of given angle is 9 in and the angle A is opposite to side 7 in.
Substituting the values then we get
[tex]\frac{9}{sin 95^{\circ}}=\frac{7}{sin A}[/tex]
[tex]\frac{9}{0.683}=\frac{7}{sin A}[/tex]
[tex] sin A=\frac{7\times 0.683}{9}[/tex]
[tex] sin A=\frac{4.781}{9}=\frac{4781}{9000}[/tex]
[tex] sin A=0.531[/tex]
[tex] A= sin^{-1}(0.531)[/tex]
[tex] A=0.56^{\circ}[/tex]
[tex] A= 1^{\circ}[/tex]
Hence, the measure of an angle A=[tex]1^{\circ}[/tex].
(x1/6)3 simplify the expression
Answer:
x1/2
Step-by-step explanation:
Simplify the following:
(3 x1)/6
Hint: | In (x1×3)/6, divide 6 in the denominator by 3 in the numerator.
3/6 = 3/(3×2) = 1/2:
Answer: x1/2
For this case we have the following expression:
[tex](x ^ {\frac {1} {6}}) ^ 3[/tex]
We have that by definition of properties of powers it is fulfilled that:
[tex](a ^ n) ^ m = a ^ {n * m}[/tex]
Now we have to, by applying the property:
[tex](x ^ {\frac {1} {6}}) ^ 3 = x ^ {\frac {3} {6}}[/tex]
Simplifying:
[tex]x ^ {\frac {3} {6}} = x ^ {\frac {1} {2}}[/tex]
Answer:
[tex]x ^ {\frac {1} {2}}[/tex]