Question

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

5 to the fourth power, over 25 = 52

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:

`(5^4)/(25)`
Rewriting the expression we have:

`(5^4)/(5^2)`
In the division, if we have the same base, the exponents are subtracted.
Therefore, by rewriting the expression we have:

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

`5^(4-2) = 5^2`
Answer:
The equivalent expression is given by:

`(5^4)/(25)=5^2`