Power of a power quotient rule

Answers

Answer 1

Answer:

Quotient rule simply states that as long as the base is the same, we can just divide two powers by subtracting the exponents.


Related Questions

Frank wants to eliminate the variable y from
the system below by adding.
(7x - y = 8
12x + 2y = 6
First, he will have to multiply one of the
equations by a number. Which step will enable
him to eliminate y by adding?
Multiply each term in 2x +2y=6 by 3.
Multiply each term in 7x - y = 8 by-3.
ОА
OB
Multiply each term in 2x + 2y = 6 by-3.
Multiply each term in 7x - y = 8 by 3
07:23

Answers

Answer:

84 x is your answer right answer right

[tex]tan(0)=\frac{5\sqrt{20} }{11}[/tex]

Answers

Answer:

0.035°

Step-by-step explanation:

We need to find the value of  [tex]\theta[/tex] for the given expression. So,

[tex]\tan\theta=\dfrac{5\sqrt{20}}{11}[/tex]

or

[tex]\theta=\tan^{-1}\tan\left(\frac{5\sqrt{20}}{11}\right)\\\\=-2.0083\ radian[/tex]

Or we can write as :

[tex]\theta=0.035^{\circ}[/tex]

So, the value of [tex]\theta[/tex] is equal to 0.035°.

An eagle is flying at an altitude of 280 feet. The angle of depression from the eagle to a mouse on the ground is 15º. What is the direct line distance from the eagle to the mouse? Round answer to the nearest thousandth

Answers

Answer:

Step-by-step explanation:

X = distance between eagle and mouse.

sin(15°) = 280/x

X = 280/sin(15°) = 1,081.837 ft

This is a short answer question.
Describe what the graph and equation look like for each of the parent functions.

Answers

Answer:

there you go there's your answers

Step-by-step explanation:

→A parent function is the simplest function of a family of functions. of this form is y = x2. The simplest parabola is y = x2, whose graph is shown at the right. The graph passes through the origin (0,0), and is contained in Quadrants I and II.

€xample→

For example, you can simplify "y=2*sin(x+2)" to "y=sin(x)" or "y=|3x+2|" to "y=|x|." Graph the result. This is the parent function. For example, the parent function for "y=x^+x+1" is just "y=x^2," also known as the quadratic function.

A population numbers 15,500 and grows at 3.75% per year. Write an exponential model for the growth of this population.

Answers

Answer: [tex]f(x)=15500(1.0375)^x[/tex]

Step-by-step explanation:

The exponential model for growth is given by :-

[tex]f(x)=A(1+r)^x[/tex], where A = initial value , r = growth rate (in decimal), x = time  (in years).

Given: A= 15,500      r= 3.75% = 0.0375

The exponential model for the growth of this population will be :

[tex]f(x)=15500(1+0.0375)^x\\\\\Rightarrow\ f(x)=15500(1.0375)^x[/tex]

hence, the required model: [tex]f(x)=15500(1.0375)^x[/tex]

The graph shows thar video sales at Bart's are nost often.

a- more than 400
b- less than 300
c- less than 100
d- more than 300​

Answers

Answer:

The answer is b

Less than 300

In a certain candy store, 3 pounds of candy and 2 pounds of mints cost $10.80, and 1 pound of candy and 3 pounds of mints cost $5.35. What is the cost per pound of the mints?

Answers

Answer:

Step-by-step explanation:

we will set up two equations:

let c be candy

let m be mints

3c+2m=10.80

c+3m=5.35, c=5.35-3m

3(5.35-3m)+2p=10.80

c=3.10

m=0.75

Let x be the cost of candy per pound and y be the cost of mint per pound.

[tex]\left \{ {{3x + 2y = 10.80} \atop {{x + 3y = 5.35}} \right.[/tex]

Rewrite the second equation for substitution:

x = 5.35 - 3y

Substitute the equation above into the first equation:

3(5.35 - 3y) + 2y = 10.80

16.05 - 9y + 2y = 10.80

-7y = -5.25

7y = 5.25

y = 0.75

∴ The price of mint per pound is $0.75.

A population of 30 sasquatch is released in a wildlife region. The population doubles each year for 4 years. What is the population after 4 years?

Answers

Answer:

480 sasquatch

Step-by-step explanation:

Year one: 30 x 2 = 60 sasquatch

Year two: 60 x 2 = 120 sasquatch

Year three: 120 x 2 = 240 sasquatch

Year four: 240 x 2 = 480 sasquatch

Answer:

480

Step-by-step explanation

The price of a plain bowl plus the price
of
extra ingredients equals $

Answers

Answer:3,13

Step-by-step explanation:the price of the bowl is 10$ then you add 3 extra ingredients for a dollar each 10+3=13

Answer:

3,13

Step-by-step explanation:

can someone answer this for me please and thank you !!

Answers

Answer:

gfcdxgstez5xdyrfctugv-

_=+86545

Step-b57645745y-step explanation:

uygtf57d4ftv

9^6 * 9^3 =


Give the answer in exponent form

Answers

Step-by-step explanation:

1,983593e11

Answer:

9^18

Step-by-step explanation:

Since the bases are the same digit, all you have to do is multiply the exponents to get your answer

in a week 13 hens laid 78 eggs what is the unit rate for eggs per hen?

Answers

Answer:

6 eggs per hen

Step-by-step explanation:

78/13=6 eggs per hen

Choose ALL the angles with a measure less that 90 degrees.

Answers

Answer:

Top left    Top middle     Bottom Left       Bottom right

Step-by-step explanation        

If the angle makes an "L" it is a 90 degrees angle or a right angle

If the angle makes a "V" it is less than 90 degrees or an acute angle

If the angle makes a "Stretched out  V" it is more than 90 degrees or an obtuse angle

The option that represents the acute angle will be option A, option B, option D, and option F.

What is an angle?

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

The types of angles are as follows:

If the angle is less than 90° then the angle is known as an acute angle.If the angle is equal to 90° then the angle is known as a right angle.If the angle is more than 90° then the angle is known as an obtuse angle.

Then the option that represents the acute angle will be option A, option B, option D, and option F.

More about the angled link is given below.

https://brainly.com/question/15767203

#SPJ2


The Stock Market Alexander is a stockbroker. He earns 14% commission each week. Last week,
he sold $4,500 worth of stocks. How much did he make last week in commission? If he averages
that same amount each week, how much did he make in commission in 2011?

Answers

I’m pretty sure it’s 33,390

(3x +7x² + 2x + 3) + (x + 1)

Answers

Answer:

=7x2+6x+4

Step-by-step explanation:

3x+7x2+2x+3+x+1

Combine Like Terms:

=3x+7x2+2x+3+x+1

=(7x2)+(3x+2x+x)+(3+1)

=7x2+6x+4

Answer:

=7x2+6x+4

The range for the set of data represented by the following box-and-whisker plot is 8.

Answers

Answer:

True

Step-by-step explanation:

The range is the difference between the lowest and the highest values of the set:

19 - 11 = 8

The answer is TRUE

Answer:

true

Step-by-step explanation:

Which function is a shrink of the exponential growth function shown on the graph?
A.f(x) = 2(3)x
B.f(x) = One-half(3)x
C.f(x) = 2(one-third) Superscript x
D.f(x) = One-half (one-third) Superscript x

Answers

Answer:

B

Step-by-step explanation:according to my calculations it’s b

The solution is, Option B. f(x) = One-half(3)x.

What is an exponent in math?

An exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd (written like this: 23) means: 2 x 2 x 2 = 8. 23 is not the same as 2 x 3 = 6. Remember that a number raised to the power of 1 is itself.

here, we have,

from the given graph we get,

The function in the graph is an exponential growth function.

Therefore its equation is g(x)= 3^x

A transformation that shrinks this graph is of the form: f(x)= k* 3^x, where

0<k<1

From the given options, we must have

k=1/2

This implies that:

f(x)= 1/2 * 3^x.

Hence, The solution is, Option B. f(x) = One-half(3)x.

To learn more on exponent number click:

brainly.com/question/19467739

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The price of a television is $567.31. The state sales tax rate is 8.3%.

What is the total cost of the television?

Answers

 

that in the image could be your answer but i rlly dont know thats the way I was taught

Help me please :)....

Answers

Answer:

a = 6, b = 12, c = 18, d = 12

Step-by-step explanation:

What is a numerical expression? Give an example.

Answers

Answer:

Step-by-step explanation:

The term numerical expression is made up of two words, numerical meaning numbers, and expression meaning phrase. ... A numerical expression in mathematics can be a combination of numbers, integers combined using mathematical operators such as addition, subtraction, multiplication, or division.

Hello
I have to write at least 20 words to say hi.

Answers

Hi

I have to write at least 20 words to say hello.

is 3+5(9+2n)equal to48+5n

Answers

Answer: No
There is no logical way to get ‘5n’

Solve the equation. 8| n | − 1 = 15
A.n=2
B.n=2 or n=-2
C.n=8 or n=-8
D. No solution

Answers

Answer:

8n=15+1

8n=18

divide both sides by 8

n=2 A

What is the value of x? 5 + 1/5x = 5

Answers

Pretty sure that’d be 0 or No Solution

Answer:

x = 0

Step-by-step explanation:

5 + 1/5x = 5

Subtract 5 from both sides.

1/5x = 0

Divide both sides by 1/5

x = 0

I hope this helps!

Help Please is the answer zero? I’m not good with algebra

Answers

Answer:

should be 0 because it isnt increasing or decreasing

A bowling ball travels along the lane at a constant rate. The ball travels ⅟₁₀ of the length of the lane in ¼ seconds. At that rate, how many seconds does it take the ball to travel the entire length of the lane?

Answers

Answer:

2 1/2 seconds

Step-by-step explanation:

10×1/4=10/4=21/2 seconds

Jordan bought 3 bags of chips and 4 bars of chocolate and paid $7.25. Diego bought 2 bags of chips and 3 bars of chocolate and paid $5.25. What is the cost of a bag of chips and a bar of chocolate?

Answers

Answer:

Step-by-step explanation:

what are the different methods in finding the LCM​

Answers

Answer:

4 methods are there

Step-by-step explanation:

Find the prime factorization of each number.Write each number as a product of primes, matching primes vertically when possible.Bring down the primes in each column.Multiply the factors to get the LCM.

please mark me as brainlist

PLEASE HELP WILL MARK BRAINLIEST!!!
Select all that are equivalent to sin∠GFH

Answers

Answer:

I think sin<GEJ IS equivalent to sin∠GFH

All that are equivalent to sin∠GFH is

D) cos(&lt;EGJ)

"Corresponding angles"

sin(&lt;GEJ)cos(&lt;FGH)cos(&lt;EGJ)

From the image JE and HF are parallel.

So angle GFH and angle GEJ are corresponding angles.

So they are equal.

so, sin(&lt;GFH) = sin(&lt;GEJ).

From triangle GFH, &lt;GFH+&lt;FGH = 90.

So, sin(&lt;GFH) =cos(&lt;FGH).

Again &lt;FGH = &lt;EGJ.

So, sin(&lt;GFH) =cos(&lt;EGJ)

All that are equivalent to sin∠GFH is cos(&lt;EGJ).

Thus, the correct answer is D.

Learn more about corresponding angles: https://brainly.com/question/2009183

The mid point of a given line segment must lie on the given line segment

true or false

Answers

Answer: The answer is true .
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