Explain how the quotient of powers was used to simplify this expression 5^4/25=5^2

Answers

Answer 1
Answer: because 25 is 5^2 you can rewrite it as such
this gets you 
(5^4)/(5^2)  which you can then subtract the exponents since the base is the same, and 4-2=2

Related Questions

If two pairs of corresponding sides and one pair of corresponding angles are congruent then the triangles are congruent by side angle side
The slope of the line passing through the points (2, 7) and (-4, 8) is -6 -1/2 -1/6
Joanne wants to put wallpaper in her daughter's room. Each wall measure 16.8 feet long by 12.9 feet wide. What is the area of one wall in her daughter's bedroom?
Of a shipment of 450 flowerpots, 8% arrived broken. How many of the flowerpots broke before they were delivered? Show all your work
Does anyone know this one ????

An investor predicts that next month, 1 ton of coal will cost $53.00, with a 3% margin of error. Based on the prediction, what is the range of possible costs, in dollars per ton, for the coal?

Answers

Answer:

"Cost would be between $51.41 and $54.59"

Step-by-step explanation:

3% margin of error means that the cost can be

  • 3% lower, or
  • 3% higher

First we need to find 3% of $53 and then we will "add" and "subtract" from $53 to get the range of values of cost.

To get 3% of $53, we need to convert the percentage to decimal and multiply with $53. To get percentage to decimal, we divide by 100, so we have:

3/100 = 0.03

Now,

0.03 * 53 = $1.59

The range would be:

$53 + $1.59 = $54.59

and

$53 - $1.59 = $51.41

Cost would be between $51.41 and $54.59

6x - 2y= 18
Find the x-intercept and the y-interc
Then use them to graph the line.

Answers

x-intercept(s): (3,0)

y-intercept(s): (0,−9)

Answer:

The x is -3 and the y is -9 so the answer is (-3,-9)

Step-by-step explanation:

6x-2y=18

-6x       -6x

-2y=-6x+18

-2y/-2=-6x/-2+18/-2

y= -3x -9

To graph you just mark it at -9 and go down 3 up 1; or you could go up 3 down 1

Hope this helps :) Have a wonderful day and  wish you luck on your test :)

What is an equation in point-slope form of the line that passes through (-7,1) and (-3, 9)

Answers

Step-by-step explanation:

let eqn be y - y1 = m(x - x1)

m = (9 - 1)/(-3 - (-7))

m = 2

sub (-7, 1):

y - 1 = 2(x + 7)

therefore, the equation is y - 1 = 2(x + 7)

Topic: coordinate geometry

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

Answer:
y=2x+15

Solution:
Refer to the diagram

A population of flies grows according to the function p(x) = 6(3)x, where x is measured in weeks. A local spider has set up shop and consumes flies according to the function s(x) = 4x + 1. What is the population of flies after two weeks with the introduced spider?

Answers

Answer:

The correct answer is 45

An exponent shows how many times the base number is multiplied by itself. a. True
b. False

Answers

The answer is a. true.

Please help and thank you! (x4)

Answers

in rectangular form the equation is