Simplify the expression. (p^9)^−2

Answers

Answer 1

p9/p3 Final result : p6 Reformatting the input :

Changes made to your input should not affect the solution:

(1): "p3" was replaced by "p^3". 1 more similar replacement(s).

Step by step solution :Step 1 : p9 Simplify —— p3 Dividing exponential expressions :

1.1 p9 divided by p3 = p(9 - 3) = p6

Final result : p6

Answer 2

Answer:

[tex](p^9)^{-2}=p^{-18}[/tex]

Step-by-step explanation:

[tex](p^9)^{-2}[/tex]

To simplify the given expression we apply exponential property.

Multiply the outside exponent with inside exponent

[tex](a^m)^n= a^{mn}[/tex]

when we multiply the outside exponent -2 inside 9 , it becomes -18

So the given expression becomes

[tex](p^9)^{-2}=p^{-18}[/tex]

Related Questions

Which graph shows the equation y = x + 2?

Answers

there ya go. your graphs should have this as one of the answers

.can you please help me thank you you will be given brainley

Answers

They aren't marked so that you can't tell. If I had to guess, I'd say it's SSS but it just a guess. Without markings of some kind we can't do much. SSS is based on appearance alone.

Mr Savage used 3 gallons of paint to cover 1,350 square feet of wall space. At this rate, how much paint will be needed to cover 1,800 square feet

Answers

This problem is solved using a rule of three

we know that
Mr Savage used 3 gallons of paint to cover--------------> 1,350 square feet
X--------------------------------------------------------------------> 1,800 square feet
X=1800*3/1350=4 gallons

the answer is 4 gallons

Number of security staff = a over 100 if a audience, is 10500, how many security staff are needed for the event

Answers

Substituting for "a" in the formula, we have
.. Number of security staff = 10500/100 = 105

Why would someone choose to use a graphing calculator to solve a system of linear equations instead of graphing by hand? Explain your reasoning.

Sample Response: A graphing calculator is more accurate than graphing by hand. If the slope and/or y-intercept is a fraction or decimal, it is more difficult to accurately graph by hand. Using a calculator might also be more time efficient because it might accept a line in any form. A calculator’s window can be adjusted quickly instead of having to redraw a graph by hand when adjusting the scale.

Answers

In addition, from the response shown, using a graphical calculator brings the following benefits:
1) You can write the system of linear equations as big as you want. This is: systems 3 * 3, 4 * 4, 5 * 5.
2) The response to systems of equations greater than 2 * 2 can be complicated when you graph the solution, therefore, the graphing calculator can be much more efficient in these cases.
3) You can write the linear equations in any way. Resolving by hand you should probably rewrite the system of equations to find the solution.

Ava bought a rectangular rug for her hallway. The rug is 2\3 yards wide and 2 3\4 yards long. What is the area of the rug as a mixed number in simplest form?

Answers

2/3 * 2 3/4 = 1.83 That translated into fraction form is 1 5/6

Answer:

1 5/6

Step-by-step explanation:

What is value of x?
https://static.k12.com/nextgen_media/assets/8093716-NG_GMT_SemB_08_UT_12.png

Answers

check the picture below.

The calculated measure of the angle x is 76 degrees

How to determine the measure of the angle x

From the question, we have the following parameters that can be used in our computation:

The figure

Also, we have

Angle with a measure of 76 degrees

By the theorem of corresponding angles, we have

x = 76

Hence, the measure of the angle x is 76 degrees

Answers

is there a slope/graph here?

HELP! ASAP!
What is the measure of ∠A?

What is the measure of ∠B?

Answers

The opposite angles of a parallelogram are equal.
Therefore
m∠A = m∠C, so that
5y - 3 = 3y + 27
Subtract 3y from each side.
5y - 3y - 3 = 3y - 3y + 27
2y - 3 = 27
Add 3 to each side.
2y - 3 + 3 = 27 + 3
2y = 30
y = 30/2 = 15

Therefore
m∠A = 5*15 - 3 = 72°
m∠C = 72°

Let x = m∠B
Then x = , m∠B = m∠C
Because the sum of the angles in the parallelogram is 360°, therefore
x + x + 72 + 72 = 360
2x = 360-144 = 216
x = 216/2 = 108

Answer:
m∠A = 72°
m∠B = 108°

Answer:

What is the measure of ∠A?

72°

What is the measure of ∠B?

108°

Step-by-step explanation:

I literally copied and pasted from edge

How could the relationship of the data be classified? (1 point)

scatter plot with points loosely scattered going down to the right

Answers

Scatterplots are a useful way of visualizing statistical data and to draw some quick conclusions from the data. Each scatterplot is unique but there are some common trends about association of the 2 variables that can be applied. In a scatterplot with an upward trend, we would say that the variables have a positive association or that they have a positive correlation. When one variable increases, the other increases too (in general). If the plot has a downward trend, we talk of a negative association. Finally, there could also be no association, with plot points scattered all around. Thus, in this case, we have negative correlation. If there is anything else you need regarding this answer, comment.

Find the exact value of sin ( 2
a. if cos a = 3 /5 . assume a is a quadrant i angle in standard position.

Answers

In a right angled triangle 'efg' cos a = 3/5
From Pythagoras theorem the third side will be 4
cos a =3/5
sin a =4/5
sin 2a =2 x 4/5
sin 2a= 8/5

Select the correct factor from the presentation and calculate how many calories used. (Round to the hundredths.) A person weighing 165 lbs. jogs 1 mile in 8 minutes. How many calories used?
A. 102.30
B. 107.25
C. 253.85
D. 266.13

Answers

Answer:

the answer is 107.25

Step-by-step explanation:

Answer:

B. 107.25

Step-by-step explanation:

Let x be the calories burnt by the man,

Since, when a person runs 1 miles in 8 minutes,

Then,

[tex]\frac{\text{Calories used by him}}{\text{His weight in lb}}=65\%[/tex],

Given,

Weight of the person = 165 lb,

Thus,

[tex]\frac{x}{165}=\frac{65}{100}[/tex],

[tex]x = \frac{165\times 65}{100}[/tex]

[tex]x=\frac{10725}{100}[/tex]

[tex]\implies x=107.25[/tex]

Hence, 107.25 calories will be used.

Which algebraic expression represent the phrase “ seven more than half of a number”?

Answers

[tex] \frac{1}{2}n[/tex] + 7

Hope this helps =)

Answer:

The given expression “ seven more than half of a number” can be written mathematically as [tex]7+\frac{1}{2}N[/tex]

Step-by-step explanation:

Given phrase “ seven more than half of a number”

We have to write the algebraic expression for the given phase.

Algebraic expression is the way of writing an expression in mathematical form using mathematical operations and variables.

Consider the given phrase “ seven more than half of a number”

Let the number be N,

Then half of number is [tex]\frac{1}{2}N[/tex]

and seven more means seven is added to this, the expresion becomes [tex]7+\frac{1}{2}N[/tex]

Thus, the given expression “ seven more than half of a number” can be written mathematically as [tex]7+\frac{1}{2}N[/tex]

Find the smallest value of k if 264k is a perfect square

Answers

Try factoring this first.
264k = 132*2k = 11*12*k = 11*3*2*2*k
To get a perfect square, you are going to have to have an even number of prime factors.
You have one 11 and one 3. You are going to have to do something about those two.
k = 11 * 3 <<<<< ======= answer.

Now put that into 264k and you get 11 * 3 * 2 * 2 * 11 * 3 which is a perfect square. 11^2 * 3^2 * 2^2 = 4356

The square root of 4356 = 66
4356 is a perfect square when 33 = k.

What is the denominator of the fraction 1/9?

Answers

The denominator is the bottom number it will be 9

9

any number below the bar is the denominator, any number above the bar is the numerator

A employer, who started a new business, has promised his employees a minimum starting wage of $3, with an increase of $2 every 4 years. Sketch a graph of wage as a function of time for 16 years. Assume the wages take effect at the beginning of the year where the change is made. (HINT: use a step function to represent the function.)

Answers

This is a step function because it increases in "steps". The wage stays constant for a 4 year period, then jumps by $2 instead of a steady increase.

Final answer:

To sketch the graph, use a step function to represent the wage as a function of time over 16 years. The minimum starting wage is $3, and it increases by $2 every 4 years.

Explanation:

To sketch a graph of wage as a function of time for 16 years, we can use a step function to represent the function.

The minimum starting wage is $3 and it increases by $2 every 4 years. For the first 4 years, the wage will be $3. At the start of the 5th year, the wage will increase to $5. This pattern continues, with the wage increasing by $2 every 4 years.

So, the graph will have flat lines representing each 4-year interval, with a step up at the start of each interval.

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Please help me solve for r

Answers

Add the opposite of any terms that don't have r.
.. K +7s = 4r

Divide by the coefficient of r.
.. (K +7s)/4 = r

A 10-foot ladder is leaning against a tree. The bottom of the ladder is 4 feet away from the bottom of the tree. Approximately how high up the tree does the top of the ladder reach?
A.2.4
B.6.0
C. 9.2
D. 10.8

Answers

c. 9.2 is your answer

Please help me it's homework.

Answers

Left Side
=======
2 faces of 2 * 8 = 32
2 faces of 2 * 7 = 28
2 faces of 7 * 8 = 112
Total = 172

Right Side Prism
=========
2 faces of triangles 1/2 * 7.2 * 4.8 = 34.56
1 bottom face of 7.2 * 10 = 72
2 slanted faces 6 * 10 = 120
Total 34.56 + 72 + 120 = 226.56

I'm in need of Brainlys. If this answer suits you can you award one if it is possible for you to do.

Find all real values of $v$ that satisfy the equation $(v+6)^2 = 324$. If you find more than one, then list your values in increasing order, separated by commas.

Answers

we have that

(v+6)^2 = 324-----> I raise to 1/2 both members----> [(v+6)^2]^(1/2)=(324)^(1/2)[(v+6)]=(324)^(1/2)-------------> v+6=√324
v=√324-6---------> 18-6=12
v=12

the answer is v=12

Answer:

The values of v in increasing order are, -24, 12

Step-by-step explanation:

Given equation is,

[tex](v+6)^2=324[/tex]

[tex]v+6=\pm 18[/tex]

[tex]v=-6\pm 18[/tex]

[tex]\implies v=-6-18\text{ or }v=-6+18[/tex]

[tex]\implies v = -24\text{ or }v=12[/tex]

Since, -24 < 12

Thus, the values of v in increasing order are,

-24, 12

Solve the following system of equations using matrices.
4x – 2y = -6
3x – 6y = -18

(40, 90)

(3, 0)

(0, 3)

(-6, 18)

Answers

It is convenient to let a calculator do the math.
.. (x, y) = (0, 3) . . . . . your 3rd selection

_____
I prefer using the RREF function to put the augmented matrix into reduced row-echelon form. If the equations are dependent or inconsistent, using that method tells you so without giving a matrix inversion error.

Debra is on the swim team. Each week she swims a total of 7000 meters. How many kilometers does she swim each week?

Answers

Hm 7 meters is it kilometers...7 kilometers

The volume of a sphere is 3,000π m3. What is the surface area of the sphere to the nearest square meter? 165 m2 2,158 m2 1,079 m2 37,699 m2

Answers

To solve this problem and calculate the area of the sphere, you must apply the following formulas:

Formula N° 1:

V=4/3(πr³)

V is the volume of the sphere (V=3,000π m³).
r is the radius.

Formula N° 2:

A=4πr²

A is the area of the sphere.
r is the radius.

As you can see, you don't have the value of the radius "r". So, you must rewrite the Formula N° 1, and clear "r":

V=4/3(πr³)
(3,000)(3)=4πr²
r³=9,000/4π
r=(9,000/4π)^1/3
r=13.1037 m

Then, to calculate the area of the sphere, you must substitute the value of "r" into the Formula N° 2:

A=4πr²
A=4π(13.1037)²
A=2,158 m²

What is the surface area of the sphere to the nearest square meter?

The answer is: 2,158 m²

Which equivalent expression would you set up to verify the associative property of addition for (3x + 4) + ((5x2 – 1) + (2x + 6))

(3x + 4) + (5x2 – 1)

(5x2 – 1) + ((3x + 4) + (2x + 6))

((3x + 4) + (5x2 – 1)) + (2x + 6)

(3x + 4) + (5x2 – 1) + (2x + 6)

Answers

Associative Property of Addition
(3x + 4) + [(5x2 - 1) + (2x + 6)]

As given in the definition below, to make it an associative property, we can change the bracket

[(3x + 4) + (5x2 - 1)] + (2x +6)

Your answer will be the third option :)

It's C.

Trust me, I had trouble figuring out this answer...

How do you solve this inequality: 7 ≤ x+11

Answers

solve the inequality like an equation
7 ≤ x + 11
subtract 11 from both sides
-4 ≤ x

From there on, any number greater than or equal to -4 will be a solution to the inequality

Hope this helps

How do you solve this inequality: 7 ≤ x+11

[tex] 7 \leq x+11 \\ \\ 7 -11\leq x \\ \\ -4 \leq x\qquad\to\qquad x\in \left[-4; +\infty) [/tex]

2.1 + (–3.7h) + 1.9h – 1.4

Answers

-1.8h-0.7 You combine like terms.

To solve for h, we need to simplify.

2.1 - 3.7h + 1.9h - 1.4 = 0
0.7 - 1.8h = 0
1.8h = 0.7
h = 0.38888....

Given that ∆MTW ≅ ∆CAD, which angles are corresponding parts of the congruent triangles?

∠M ≅ ∠A

∠M ≅ ∠D

∠M ≅ ∠C

Answers

Answer:

It is M = C

Step-by-step explanation:

The measure of the angle ∠WMT is congruent to the measure of the angle ∠DCA. Then the correct option is C.

What is the triangle?

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

The triangle ∆MTW is congruent to the triangle ∆CAD. Then we have

∠MTW ≅ ∠CAD

∠TWM ≅ ∠ADC

∠WMT ≅ ∠DCA

The proportion of the point ∠WMT is harmonious with the proportion of the point ∠DCA. Then, at that point, the right choice is C.

More about the triangle link is given below.

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The image of a figure is shown. What are the coordinates of X in the pre-image of the figure if the rule that created the image was T–5.2, 1.4(x, y)? PLEASE ANSWER

X =
a. (-7.2, 3.4)
b. (1.2, 6.6)
c. (3.2, 0.6)
b. (9.2,-0.4)

Answers

The answer is C. The image of X is (-2, 2) according to the graph. The rule of translation is (-5.2, 1.4). Suppose the pre-image of X is (a,b). Then (a,b)+(-5.2,1.4)=(-2,2). a-5.2=-2, a=3.2. b+1.4=2, b=0.6. So (a,b) is (3.2, 0.6), before the translation occurs.

I agree the answer is C)

Hope this somewhat helped! :)

Which linear function has the greatest y-intercept?

A) x + 6y = 36

B) y = 15x + 5

C) 3x + 8y = 24

D) y = 4x + 7

Answers

I believe the answer is D).

Answer:

the answer is y=4x+7

Step-by-step explanation:

You are preparing to tile the floor of a rectangular room that is 15.5 feet by 18 feet in size. The tiles you plan to use are squares, measure 12 inches on each side, and are sold in boxes that contain enough tiles to cover 25 square feet. Each box costs $30.

To determine the cost of materials you multiply 15.5 by 18, divide by 25, round up to the next whole number, and multiply by 30. Is this correct?
A) Yes.
B) No, you need to round down and then multiply by 30.
C) No, you need to round down and then multiply by 144.
D) No, you need to divide by 144, round up, and then multiply by 30.
E) No, you need to divide by 144, round down, and then multiply by 30.

Answers

Final answer:

To find the cost of tiling the room, you have to calculate the area in square feet, convert tile size to the same units, calculate how many boxes needed and round up, then multiply by the cost per box. The correct answer is D).

Explanation:

The correct answer is D). The process to determine the cost of the tiles needed to cover the room starts with calculating the area of the room in square feet. This is done by multiplying the room's length and width, so 15.5 feet * 18 feet which equals 279 square feet.

The tiles are 12 inches in size on each side, but the dimensions of the room are in feet. Therefore, we need to convert the tile size to square feet. Since 1 foot = 12 inches, 1 square foot = 144 square inches. Our tile is 12 inches * 12 inches = 144 square inches, which equals 1 square foot.

However, the tiles are sold in boxes that cover 25 square feet. So, we will divide the total room area by the area covered by one box of tiles. 279 square feet / 25 = 11.16 boxes needed, approximately.

It's important to round up at this stage, as you can't buy a fraction of a box. So, you'd need 12 boxes.

The last step is to calculate the total cost, which is done by multiplying the number of boxes by the cost of each box. So, 12 * $30 equals $360.

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