Question

PLEASE HELP!!!! NEED NOW!!! 20 pts

Explain how the Quotient of Powers was used to simplify this expression.
2 to the 5th power, over 8 = 2 to the 2nd power
By finding the quotient of the bases to be one fourth, and cancelling common factors
By finding the quotient of the bases to be one fourth, and simplifying the expression
By simplifying 8 to 2^3 to make both powers base two, and subtracting the exponents
By simplifying 8 to 2^3 to make both powers base two, and adding the exponents

Answer 1

first if all we have to simplify the whole number and see if it has he same basis of the powered number or not.
If so like 8 it has the same base for
`2^(5)`
as they are both can be obtained by multiplying a certain number of 2s.
for example
`8=2^(3)= 2*2*2` which makes 8 can be obtained by multiplying three 2s.
in our example
`(2^(5))/(8)=(2^(5))/(2^(3)) = 2^(5) * 2^(-3)`
in this case, we can add the two powers as long as the basis are the same.

`(2^(5))/(8)=2^(5-3)=2^(2)=4`

I hope it make sense now ;)
Best Wishes