How to solve: \frac{1}{y^{\frac{2}{5}}} ?

Answers

Answer 1

well, there's nothing to solve per se, however assuming you meant "rationalizing the denominator", which means namely to "get rid of that pesky radical at the bottom", then

[tex]\bf a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} \qquad \qquad \sqrt[ m]{a^ n}\implies a^{\frac{ n}{ m}}\\\\ -------------------------------[/tex]

[tex]\bf \cfrac{1}{y^{\frac{2}{5}}}\implies \cfrac{1}{\sqrt[5]{y^2}} \quad \stackrel{rationalizing~it}{\implies }\quad \cfrac{1}{\sqrt[5]{y^2}}\cdot \cfrac{\sqrt[5]{y^3}}{\sqrt[5]{y^3}}\implies \cfrac{\sqrt[5]{y^3}}{\sqrt[5]{y^2}\cdot \sqrt[5]{y^3}} \\\\\\ \cfrac{\sqrt[5]{y^3}}{\sqrt[5]{y^2y^3}}\implies \cfrac{\sqrt[5]{y^3}}{\sqrt[5]{y^{2+3}}}\implies \cfrac{\sqrt[5]{y^3}}{\sqrt[5]{y^5}}\implies \cfrac{\sqrt[5]{y^3}}{y}[/tex]

Related Questions

helpppppppppppppppppppppppppp

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A. First notice that the function is moved up by two units from the origin, not four, so the answer must be in A, B, and D. Also notice that the period of the function is pi instead of 2pi, so the coefficient before x is 2pi/pi=2, so eliminate B. The function is opposite of original sin function, so there's a negative sign in front of the expression. The answer is A.

What is the vertex of the graph of y = x2 + 4x?
(–2, –12)
(–2, –8)
(–2, –6)
(–2, –4)

Answers

the answer is (-2,-4)

Answer:

(-2, -4)

Step-by-step explanation:

Let's remember how to calculate the vertex of a parabola:

If we have the equation of the parabola given in the form y = ax^2 + bx + c, the x-coordinate of the vertex is x = -b/2a. For the y-coordinate we just replace the x of the equation with -b/2a and do the calculation.

In this case, a = 1, b = 4, c = 0.

The x-coordinate of the vertex is x = -4/2*1 = -2

The y-coordinate is y = (-2) ^2 + 4*(-2) = 4 - 8 = -4

Therefore, the vertex is (-2, -4)

The right triangle ABC shown below is inscribed inside a parabola. Point B is also the maximum point of the parabola (vertex) and point C is the x intercept of the parabola. If the equation of the parabola is given by y = -x2 + 4x + C, find C so that the area of the triangle ABC is equal to 32 square units.

Answers

h = -b / 2a = 2 : x coordinate of the vertex of the parabola k = -(2)2 + 4(2) + C = 4 + C : y coordinate of vertex x = (2 + √(4 + C)) , x = (2 - √(4 + C)) : the two x intercepts of the parabola. length of BA = k = 4 + C length of AC = 2 + √(4 + C) - 2 = √(4 + C) area = (1/2)BA * AC = (1/2) (4 + C) * √(4 + C) (1/2) (4 + C) * √(4 + C) = 32 : area is equal to 32 C = 12 : solve above for C.

Nikola buys a bouquet of 8 sunflowers for 18$. What is the cost for 1 sunflower.

Answers

The cost for 1 sunflower would be $2.25. We can figure this out by doing the expression $18 divided by 8 which gives up $2.25.
I hope this helped! :-)

can someone check my answers?
simplify the following expression
21(x-4)+2
A.21x=2 my answer
B. 107x
C. 21x-82
D. 27x

solve the following expression 5x-102=13
A. 23 my answer
B. -23
C. -17.8
D. 17.8

solve the following equation 2x-31=3(x+2)
A. 37
B.-37 my answer
C. 5
D. 37/5

find the range of the function f(x)=4x=1 for the domain (-1,0,1,2,3)

A. -5,-3,0,7,11 my answer

find the slope of the graph 9x-3y=15
A: -3
B.3 my answer
C. -1/3
D.1/3

if i got it wrong walk me through it and we will figure it out together:) @Nnesha @jim_thompson5910

Answers

1. 21(x-4)+2 = 21x - 84 + 2 = 21x - 82 (C is the correct answer)
2. 5x-102 = 13; 5x = 115; x = 115/5; x = 23 (A is the correct answer)
3. 2x-31=3(x+2); 2x-31=3x+6; -x=37; x=-37 (B is the correct answer)
4. Correct answer is (-5, -1, 3, 7, 11). When each of the X values is put in the equation for Y, i.e. 4x-1. Thus: 4*(-1)-1=-5; 4*0-1=-1; 4*1-1=3; 4*2-1=7; 4*3-
1=11
5. Slope is 3. y=3x-5

32 to 28 is what percentage of what change an increase or decrease

Answers

im not sure but i think its decreased by 12,5%

HELLO

could anyone PLEASE help me??

Id appreciate it!!!!!

Answers

Hello! 1,000 points are needed to go to a water park, and 424 points are already added, with 9 more games. An equation that would help find the average number of points is 9x + 424 = 1,000.

How to solve it:

Okay. So first off, lets subtract 424 from both sides. 424 - 424 cancels out. 1,000 - 424 is 576. That makes 9x = 576. Now, divide each side by 9 to isolate the c. 9x/9 cancels out. 576/9 is 64. There. x = 64. The team will need to score an average of 64 points in their remaining games in order to reach their goal.

Does anyone know what the system of equations for this would be?

Answers

a + b = 10 pounds
rewrie as:
a = 10 pounds - b

0.75a + 0.50 b = $6.00
replace a with the above equation:

0.75(10-b) +0.50b = 6.00

distribute the(10-b):

7.50 - 0.75b + 0.50b = 6.00

combine like terms:

7.50-0.25b = 6.00

subtract 7.50 from each side:

-0.25b = -1.50

divide both sides by 0.25 to find b
b = -1.50 / -0.25
b = 6

she bought 6 pounds of bananas and 4 pounds of apples

Please help will give Brainliest!! 1.Find the length of line segment AB when A=(2, 0) and B=(2, 6)
2.Find the length of CD: C(12, -10) and D(0, -6)

3.Find the length of EF: E(-3, 2) and F(6, 2)

Answers

To find the distance you can use the formula [tex] \sqrt{(x2 - x1)^{2} + (y2 - y1)^{2}} [/tex]

Try to work it out but if you still need help then ill be be happy to do so :)

A parabola has two x intercepts at (-2 , 0) and (3 , 0) and passes through the point (5 , 10). Find the equation of this parabola.

Answers

y = a(x + 2)(x - 3) : equation of the parabola in factored form 10 = a(5 + 2)(5 - 2) : (5 , 10) is a point on the graph of the parabola and therefore satisfies the equation of the parabola. a = 5/7: solve the above equation for a.

A school baseball team earned $3416.90 from selling 5716 tickets to their game. If grandstand tickets sold for 65 cents each and bleacher tickets sold for 40 cents each, how many of the bleacher tickets were sold? Answer: bleacher tickets

Answers

Let g and b represent the numbers of grandstand and bleacher tickets sold... g + b = 5716 . . . . . . . . . total number of tickets sold.. 65g +40b = 341690 . . value of tickets sold
Using the first equation.. g = 5716 -bSustituting into the second equation.. 65(5716 -b) +40b = 341690.. -25b + 371540 = 341690 . . . . . collect terms.. -25b = -29850 . . . . . . . . . . . . . . subtract 371540.. b = 1194 . . . . . . . . . . . . . . . . . . . . divide by -25

Gretchen's gross annual salary is $57,852 what is the maximum amount of rent she can afford to pay

Answers

Answer: Varies depending on the percent that you use.

To find the amount that you should spend on rent, you simply multiply your total annual salary by the recommend percent. Use the one that you were given.

A common percent is 30%.

So you would do the following problem if you were using 30%.
0.30 x 57852 = $17,355.6.

Rent should be no more than 28% of a person's gross monthly income. Divide the annual salary by 12 and multiply the quotient by 0.28.

Answer is $1350

JL is a diameter of circle K. if tangents to circle K are construvted through points L and J, what relationship would exist between the two tangents? explian

Answers

check the picture below.

notice, the left-hand-side of the picture is the tangents segment theorem, both tangents are the same length and the point of tangency, in red, is always a right-angle, however note that they're touching a radius segment, not a diameter one, and the radii lines are slanted some.

notice the right-hand-side of the picture, the points of tangency at J and L are right-angles, and the two tangents at those points, will simply be parallel, and never touch each other.

what is the measure of AC?

Answers

we know that
The inscribed angle measures half of the arc it comprises
∠ABC=mAC/2
so
mAC=2*∠ABC
mAC=2*75°
mAC=150°

the answer is mAC=150°

Please help ASAP!! Super appreciated!!! <3

Answers

The data is not linear. From (3, 1) to (7, 2), we add 4 to the x-value and add 1 to the y-value. This pattern continues for a little while, however, from (11, 3) to (18, 5), we add only 7 to the x-value even though we added 2 to the y-value. Given this information, we can determine that this is not linear data.

PLEASE HELP ME ON THIS

Answers

it's B the second one

the answer is
8x+12y<96
x+y>10

For the rational equation, x^2+5x+6/x+3=1 , what is a valid value of x?.

Answers

the correct answer is -1.

Answer:

B. -1

Step-by-step explanation:

We have the equation, [tex]\frac{x^{2}+5x+6}{x+3}=1[/tex].

Now, factorizing the polynomial [tex]x^{2}+5x+6[/tex], we get that the factors of the polynomial are (x+3) and (x+2).

So, we get,

[tex]\frac{x^{2}+5x+6}{x+3}=1[/tex]

i.e. [tex]\frac{(x+3)(x+2)}{x+3}=1[/tex]

i.e. x + 2 = 1

i.e. x = -1.

Hence, we get that the value of x is -1.

What is the greatest common factor of 62 and 82? Use prime factorization solve.

Answers

62=2×31
82=2×41
so the answer is 2

A recipe calls for 1 1/2 cups of sugar. Alexis only has measuring cups that measuring cups that measure 1/4 cup. how many times will alexis have to fill the measuring cup?

Answers

Change 1 1/2 into improper faction

1 1/2 = 3/2

Change 3/2 to quarters

3/2 = 6/4

1 measure cups = 1/4 cup

To get 6/4 cups
6/4 ÷ 1/4 = 6/4 x 4/1 = 6

He needs to fill in 6 times

Please help with 1 question thank you!

Answers

after rotating 180 degrees it would be Line ON

Using complete sentences, explain the key features of the graph of the sine function.

Answers

check the picture below.

5. Write a conditional statement. Write the converse, inverse and contrapositive for your statement and determine the truth value of each. If a statement’s truth value is false, give a counterexample.

Answers

Conditional Statement: If it is a beagle, it is a dog.
Converse: If it is a dog, it is a beagle. This is a false statement, since a dog can be any other breed (ex. Pomeranian).
Inverse: If it is not a beagle, it is not a dog. Again a false statement, since if it is a different breed, it is a dog despite not being a beagle. For example, it could be a Pomeranian.
Contrapositive: If it not a dog, it is not a beagle. This is true, since if something is not a dog, it won't be any particular breed of dog either (and it won't be a beagle).

which equation describes the same line as y-3=-1(x+5)?
A. y=-1x+8
B. y=-1x-2
C. y=-1x-1
D. y=-1x-5

Answers

y-3 = -1 (x+5)
y-3 = -x-5
y = -x-5+3
y = -x-2

B

Line AB intersects line DF. Which statement shows that the two lines are perpendicular?

Line AB and line DF are on the same plane.
Line AB and line DF intersect only once.
Line AB and line DF intersect at a 90° angle.
Line AB and line DF intersect at a 180° angle.

Answers

Answer:
Line AB and line AD intersect at a 90° angle

Explanation:
Two lines are said to be perpendicular if the angle between the two lines is 90 degrees.
If the angle between the two lines is 180, the two lines are said to be supplementary angles
The first and second options do not imply that the lines are perpendicular as the angle formed between them could be less or more that 90°.

Hope this helps :)

Jeffrey has 12 friends. He wants to give each friend 3 stickers. Which equation can be used to find how many stickers Jeffrey will need?

Answers

An equation that could be used is 12/3. Or 12 over 3. (The bar, or fraction bar means divide.) He can divide 3 by 12. His answer is 4.

George has 2 times the amount of points that is 4 less than his sister’s. His sister has 16 points. How many points does George have?
What operations are needed to solve this word problem, and in what order should they be used?

addition and subtraction, in that order
addition and multiplication, in that order
subtraction and division, in that order
subtraction and multiplication, in that order

Answers

If we take the amount of points to be x before doing any operations on it ,
george has 2 times points of x
however x is 4 points less than sisters points which is 16 points
Then we subtract 4 from 16 = 12
12 is equal to x and george has twice of x
Therefore we first subtract 4 from 16 and then multiply it by 2, thats 12*2 = 24
therefore george has 24 points
the operations are subtraction and multiplication in order

Which shows the relationship between work input and work output? A. input force × input distance > output force × output distance B. input force × input distance < output force × output distance C. input force × input distance = output force × output distance

Answers

input force x input distance > output force x output distance is your answer so A.

Answer:

The correct answer is A

I got it right on my quiz

So I need help in geometry

Answers

cos 24 = 11/x
so
x = 11/cos 24
x = 11 / 0.9
x = 12.2

answer
x = 12.2

Yulia estimates college tuition and fees, room and board, books, and other charges total $15,350. She will receive a $1500 scholarship. If she has 4 years to save, how much should Yulia save per month to cover the costs of college (minus the scholarship)? A. $288.54 B. $319.79 C. $3462.50 D. $3837.50

Answers

We know the the total cost of Yulia's college education is $15,350. We also know that she will receive a $1500 scholarship, so she will have to pay [tex]15350-1500=13850[/tex]$. A year has 12 months, so 4 years have [tex]4(12)=48[/tex] months.
Now to find how much she will need to save each month, we are going to divide the total cost of her college education by 48 months:
[tex] \frac{13850}{48} =288.54[/tex]

We can conclude that Yulia will have to save $288.54 per month to cover the costs of her college education. Therefore, the correct answer is: A. $288.54

Match each angle measure in degrees with its equivalent measure in radians

Answers

To convert angle from radian measure to degree measure, multiply it by 180/π.

So,
a) 5π/4 in degree measure will be:

[tex] \frac{5 \pi }{4}* \frac{180}{ \pi } = 225[/tex]

So, 5π/4 radian is equal to 225°.

b) 9π/5 in degree measure will be:

[tex] \frac{9 \pi }{5}* \frac{180}{ \pi } = 324 [/tex]

So, 9π/5 radian is equal to 324°.

c) 2π/3 in degree measure will be:

[tex] \frac{2 \pi }{3}* \frac{180}{ \pi } = 120[/tex]

So, 2π/3 radian is equal to 120°.

d) 4π/9 in degree measure will be:

[tex] \frac{4 \pi }{9}* \frac{180}{ \pi } = 80[/tex]

So, 4π/9 radian is equal to 80°.

e) 5π/6 in degree measure will be:

[tex] \frac{5 \pi }{6}* \frac{180}{ \pi } = 150[/tex]

So, 5π/6 radian is equal to 150°.

f) 7π/4 in degree measure will be:

[tex] \frac{7 \pi }{4}* \frac{180}{ \pi } = 315[/tex]

So, 7π/4 radian is equal to 315°.

Answer:

Hm..

Step-by-step explanation:

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