Question

Explain how the Quotient of Powers was used to simplify this expression.

Answer 1

5^4 / 25 = 5^4 / 5^2 = 5 ^4 : 5 ^2 =
= 5 ^(4-2) = 5^2
Answer:
A ) By simplifying 25 to 5² to make both powers base five, and subtracting the exponents. 

Answer 2

For this case we have the following expression:
 $\frac{5^4}{25}$
 Rewriting the expression we have:
 $\frac{5^4}{5^2}$
 In the division, if we have the same base, the exponents are subtracted.
 Therefore, by rewriting the expression we have:
 $\frac{5^4}{5^2}=5^{4-2}$
 $5^{4-2} = 5^2$
 Answer:
 The equivalent expression is given by:
 $\frac{5^4}{25}=5^2$