Question

PLEASE HELP!!!!! 15 PTS

Explain how the Quotient of Powers was used to simplify this expression. (2 points)
2^5/8 = 2^2

By finding the quotient of the bases to be,1/4 and cancelling common factors
By finding the quotient of the bases to be, 1/4 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, let's write the expression using numbers

(2^5)/8 = 2^2

Now, 8 = 2^3. So we can sub

(2^5)/(2^3) = 2^2

Now, there's a rule that states that (a^m)/(a^n) = a^(m-n)

so (2^5)/(2^3) = 2^(5-3) = 2^2

So the statement stands.

The answer is C

Answer 2

quoteint of powers
(x^m)/(x^n)=x^(m-n)

we know that 8=x^3

so
(2^5)/8=2^2 can be rewritten as
(2^5)/(2^3)=2^2
and 5-3=2 so it's true

answer is
third one
by simplifieng 8 to 2^3 to make both powers base two, and subtraction the exponents