Question

Explain how the Quotient of Powers was used to simplify this expression.5^4/25=5^2 is itBy 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

- Let us solve the question first before choosing the option:

`\begin{gathered} (5^4)/(25) \\ \\ =(5^4)/(5^2)\text{ \lparen Since }5^2=25) \\ \\ =5^(4-2) \\ \\ =5^2=25 \end{gathered}`

- Thus, the correct answer is:

By simplifying 2 to 5² to make both powers base five, and subtracting the exponents