use the exponent rule to simplify​

Use The Exponent Rule To Simplify

Answers

Answer 1

Answer:

[tex]y^{-5}[/tex]

Step-by-step explanation:

The Exponent Quotient Rule states that if two terms of the same base are being divided by each other, then the simplified expression is the base to the first power subtracted by the second power. As an algebraic equation, that would be [tex]\frac{x^{a} }{x^{b} } =x^{a-b[/tex], where [tex]x[/tex] is the common base and [tex]a[/tex] and [tex]b[/tex] are the exponents.

In this case, [tex]x=y[/tex], [tex]a=2[/tex], and [tex]b=7[/tex], so we know that [tex]\frac{y^{2} }{y^{7} } =y^{2-7}=y^{-5}[/tex]. Hope this helps!


Related Questions

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Answers

1. 15 - 5 / 18 - 6 / 21 - 7 / 24 - 8 / 27 - 9 / 30 - 10

The school librarian ordered 180 books. The order included 36 history books, 62 science books , and 34 English books. The rest of the books in the order are math books how many books did the librarian order"

Answers

Answer:

180

or if your looking for math books then

48

Step-by-step explanation:

36+62=98

98+34=132

180-132=48

Answer:

180

Step-by-step explanation:

Where is f of x equals the quotient of x plus 5 and the quantity x squared plus 9 times x plus 20 discontinuous?

A. -4
B. 5
C. f(x) is continuous everywhere
D. -5, -4

Answers

Please don’t open that link

2 × 10^12 red blood cells have a total mass of 90 grams.
Work out the average mass of 1 red blood cell.
Give your answer in standard form.

Answers

Answer:

2×10¹² cells → 90 g

mass of 1 red blood cell : 90÷(2×10¹²) = 45×10^-12 g = 4.5×10^-11 g

The Great Pyramid of Cheops is a square-based pyramid. The base has sides of 230m, and a height of 147m.
Using the same material, what would the height be if you gave the base sides of 250m?
height = ___m

Answers

Is Jenna jeosodow dislike iDisks

Reflect across the y-axis. Fill in the new coordinates below:

Answers

Answer:

A(-1,2)

B(-4,4)

C(-3,1)

Step-by-step explanation:

simply reflect across the y-axis. pls give brainliest


The mid point of segment CD is M(-2,1). One endpoint is C (-5,7). What are the coordinates of the other endpoint D?

Answers

Answer:

d

Step-by-step explanation:

if its not right have a good day

24 km
10 km
What is the length of the hypotenuse?

Answers

Answer:

20

Step-by-step explanation:

the hypotenuse is double the length of the shortest leg

The length of the hypotenuse would be 26 km

Last week, Thomas ran 5 1/4 miles. This week, he planes to run 1/2 as far as he ran last week. How many miles does Thomas plan to run this week?

Answers

Answer:

2.625

Step-by-step explanation:

Last week Thomas ran 5 1/4 miles

This week he plans to run 1/2 miles as far

Therefore the number of miles he plans to run cann be calculated as follows

= 5 1/4 × 1/2

= 21/4 × 1/2

= 21/8

= 2.625

Hence Thomas plans to run 2.625 miles

The width of a picnic table is 3 times its length. If the length is 5/6 yd long, what is the area of the picnic table in square feet?

Answers

Step-by-step explanation:

Breadth

=5/6

Length

=15/6

Area of rectangle = l x b

=5/6 x 15/6

=75/6

Answer:

6 1/4 sq ft

Step-by-step explanation:

x = length = 5/6

y = width = 3x

so y = 3(5/6) or 15/6

A = length · width

A = 5/6 · 15.6 or 25/12 which is 6 1/4

During a building project, a brick is
dropped from a height of 1,936 ft. If the
equation for height as a function of time is
h(t) = -16t2 + initial height where t is time
in seconds and h(t) is height in feet, how
many seconds will it take for the brick to
hit the ground?
[?] seconds

Answers

Answer:

11 seconds

Step-by-step explanation:

h(t) = -16t^2 + 1936

When  the brick hits the ground h = 0 so:

-16t^2 + 1936 = 0

-16t^2 = -1936

t^2 = -1936/-16

= 121

t = 11 seconds.

The amount of time taken by the brick to hit the ground is 11 seconds.

What is a function?

A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.

It is given that during a building project, a brick is dropped from a height of 1,936 ft. If the equation for height as a function of time is h(t) = -16t² + initial height. where t is time in seconds and h(t) is height in feet.

h(t) = -16t² + 1936

When the brick hits the ground h = 0 then the amount of time taken by the brick will be calculated as below:-

-16t² + 1936 = 0

-16t² = -1936

t² = -1936/-16

t²= 121

t = 11 seconds.

Therefore, the amount of time taken by the brick to hit the ground is 11 seconds.

To know more about function follow

https://brainly.com/question/2833285

#SPJ2

In a recent year, a hospital had 4310 births. Find the mean number of births per day, then use that result and the Poisson Distribution to find the probability that in a day there are 13 births.

Answers

Answer:

11.8 ;

0.1036360

Step-by-step explanation:

Mean births per day, μ = number of births per year / number of days in a year ;

4310 / 365 = 11. 8 births per day

From poisson distribution :

P(x) = (μ^x * e^-μ) ÷ x!

P(x = 13) = (11.8^13 * e^-11.8) ÷ 13!

P(x = 13) = 6.453438E8 / 13!

P(x = 13) = 0.1036360

PLZZZ HELP ITS ALMOST DUE

Answers

Answer:

Everytime x goes up 1 y goes up 3

Step-by-step explanation:

I mean its pretty obvious 1=2 2=5 3=8 4=11

During an exploratory activity, a student measured the diameter and circumference of several circular objects.

Answers

Answer:

what is the question? I need to know

what is the m<R???????​

Answers

Answer:

128

Step-by-step explanation:

Hey There!

So the rule about interior angles of a trapezoid

is that the angles that lie on the segments that are not parallel are supplements

so essentially what I'm saying is that angle R and angle U are supplementary angles so to find x we do

180=15x+8+7x-4

step 1 combine like terms

15+7=22

8-4=4

now we have

180=22x+4

step 2 subtract 4 from each side

180-4=176

now we have

176=22x

step 3 divide each side by 22

176/22=8

so x=8

now we plug in 8 to 15x+8

8x15=120

120+8=128

so we can conclude that angle R = 128

I need help. i dont know where to start......

Answers

Answer:

start at x

Step-by-step explanation:

you are welcome

Answer: x=27

Step-by-step explanation: the perimeter is rim of the shape. Since you are already given the perimeter you would need to subtract all of the sides from that number. 93-18-18-15-15= 27 you will be left with the answer to the remaining side.

Directions:Find the measures of the missing angles in each trapezoid. Will give brainliest for full answer.Posted for the 4th time :(

Answers

Step-by-step explanation:

m<M=m<L=110°

m<N=m<O=x → 2x+2(110°)=360° → x=70°

m<E=180°-22°=158°

m<A=360°-(88°+22°+158°)= 92°

m<D=m<O=61°

m<S=m<G=x → 2x+2(61°)=360° → x=238/2 = 119°

Answer:

Step-by-step explanation:

1)∠L + ∠O = 180       {Co interior angles}

  110 + ∠O = 180

            ∠O = 180 - 110

            ∠O = 70

Base angles of isosceles trapezoid are equal

∠M = ∠L

∠M = 110

∠O = ∠N

∠N = 70

2) ∠c + ∠A = 180               {Co interior angles}

   88 + ∠A = 180

            ∠A = 180 -88

            ∠A = 92

∠D + ∠E = 180       {Co interior angles}

22 +∠E = 180

      ∠E = 180 - 22

      ∠E = 158

3)  ∠O + ∠G =  180           {Co interior angles}

   61 + ∠G = 180

         ∠G = 180 - 61

         ∠G = 119

Base angles of isosceles trapezoid are equal

∠D = ∠O

∠D = 61

∠S = ∠G

∠S = 119

Leon got a reduction of $40 on a Geometry set
which was marked $480.
(a) What fraction was the reduction?
(b) What percentage was the reduction?
(c) What percentage of the cost did Leon
pay for the Geometry set?

Answers

I pretty sure this one is b
A) 40/480 reduced to 1/12

B) (1/12) x 100 = 8.33%

C) 100% - 8.33% = 91.67%

30 points !! and brainlest !!!!! for best answer

Answers

Answer:

look below

Step-by-step explanation:

a. 3.888mm^2

b. 162km^2

c. 0.36cm^2

d.20.25cm^2

e. 9.6m^2

f. 128.832km^2

g. 110.4m^2

h.9.15cm^2

I. 0.084km^2

Please helpppppp
-3x-42>3
And show work

Answers

Answer:

Step-by-step explanation:

-3x-42 > 3

Add 43 to both sides

-3x>45

Divide both sides by -3

x>-15

On a map of Arizona 2 inches represents 54 miles. The map distance from Yuma to Sentinel is 3 inches. What is the actual distance in miles between the cities?

Answers

Answer: 81 miles

Step-by-step explanation:

if 2 inches = 54miles then 1 inch is 27 miles because 54/2=27

so 3 inches means 3(27)=81 miles from yuma to sentinel

Michael starts a website for people in his town to share news and photos. Before launching the website, he has his friends and family sign up. Then, he uses the equation shown to estimate the number of users, y, who will have signed up x weeks after he officially launches the website.

y = 82 ( 1.045 ) x

What is the rate of growth Michael expects each week after launching the website?

A. 104.5%
B. 95.5%
C. 4.5%
D. 0.045%

Answers

Answer:

Michael starts a website for people in his town to share news and photos.  Before launching the website, he has his friends and family sign up.  Then, he uses the equation shown below to estimate the number of user, y, who will have signed up x weeks after he officially launches the website.

y = 82(1.045)x

What is the rate of growth Michael expects each week after launching the website?

The answer will be %0.045

Step-by-step explanation:

The rate of growth Michael expects each week after launching the website is 4.5%.

Given that,

The function is y = 82 (1.045)x.We need to find the rate of growth.

Based on the above information, the calculation is as follows:

Since 1.045 is given so this means 4.5% is the growth rate.

Therefore we can conclude that the rate of growth Michael expects each week after launching the website is 4.5%.

Learn more: brainly.com/question/16115373

HELPPPP I will mark brainiest wow I can’t spell

Answers

Answer:

V=[tex]\frac{28\pi }{3}[/tex]

Step-by-step explanation:

Plug and chug into the formula, your radius is 2ft, and your height is 7ft.

[tex]V=\pi*2^{2} *\frac{7}{3}[/tex]

V=[tex]\frac{28\pi }{3}[/tex] or 29.30 if [tex]\pi =3.14[/tex]

Mr thompson!! Please help me sir!

Answers

Answers:

11) D. $3012) Two answers: choice C, choice D13) A. Subtract 100 from each side14) A. n = 9 and n = -5

====================================================

Explanation:

11) We set p(120-4p) equal to zero to find that p = 0 is one solution and 120-4p = 0 leads to p = 30. The prices of $0 and $30 both lead to $0 in revenue. It sounds like your teacher wants the larger price value.12) We set each of the two revenue expressions equal to 600.13) Replace the (n-2)^2 with another variable. Let's call that x. So we have the equation 100+x = 149, which is the same as x+100 = 149. We subtract 100 from both sides to undo the +100.14) After following the steps in problem 13, you should have (n-2)^2 = 49, which then becomes n-2 = 7 or n-2 = -7 after applying the square root to both sides. Those two equations solve to n = 9 and n = -5 in that order.

Ariana compró cierto número de sacos de azúcar por S/. 675 y luego los vendió por S/. 1 080, ganando S/. 3 por cada saco. ¿Cuántos sacos de azúcar compró?

Answers

Responder:

135

Explicación paso a paso:

Número de bolsas compradas = x

Costo total de compra = 675

Costo total de ventas = 1080

Beneficio por bolsa = 3

Por eso :

Beneficio total + costo total de compra = costo total de ventas

3x + 675 = 1080

3x = 1080 - 675

3 veces = 405

x = 405/3

x = 135

Se compraron 135 bolsas

help me pls!!!!!!!!!!

Answers

756,000 is the answer

Answer:

R U A girl?

Step-by-step explanation:

Interpret the y-intercept!, Brainiest will be given out!

Answers

Answer:

Y intercept = 3

Step-by-step explanation:

Answer:

b) At 10 years, the height is 24 feet

Step-by-step explanation:

What makes a rhombus special?

Answers

Answer:

A rhombus is a special parallelogram because its sides are always equal.

One of the two characteristics that make a rhombus unique is that its four sides are equal in length, or congruent. ... If you have a quadrilateral with two pairs of parallel sides, you do not necessarily have a rhombus; you might have a parallelogram, or you could have a rhombus if all four sides are the same length.

Using the fact this is a 3, 4, 5 triangle, find the missing side *
Please help I will give 5 stars!

Answers

Answer:

0.8

Step-by-step explanation:

I Dont know 3, 4, 5 so I am going to just use the normal formula

a^2 + b^2 = c^2

0.6^2 + b^2 = 1^2

0.36 + b^2 = 1

b^2 = 0.64

b= 0.8

8.12394 rational or irrational

Answers

Answer:

rational

Step-by-step explanation:

if it does not terminate nor become periotic it is irrational other wise it is rational

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