Question

Explain how the Quotient of Powers Property was used to simplify this expression. 5 to the fourth power, over 25 = 52By simplifying 25 to 52 to make both powers base five and subtracting the exponentsBy simplifying 25 to 52 to make both powers base five and adding the exponentsBy finding the quotient of the bases to be one fifth and cancelling common factorsBy finding the quotient of the bases to be one fifth and simplifying the expression

Answer 1

We need to know how the given expression was simplified.

"5 to the fourth power, over 25 = 52":

$\frac{5^4}{25}$

First, we need to convert 25 into a number with power

5²= 25

Then:

$\frac{5^4}{5^2}$

Simplify by subtracting exponents:

$\frac{5^{4}}{5^{2}}=5^4\ast5^2=5^{4-2}=5^2$

Hence, we used the first option method.

The correct answer is the first one.