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

By simplifying 25 to 52 to make both powers base five, and subtracting the exponents

By simplifying 25 to 52 to make both powers base five, and adding the exponents

By finding the quotient of the bases to be, and cancelling common factors

By finding the quotient of the bases to be, and simplifying the expression

Question

Explain how the Quotient of Powers was used to simplify this expression.

By simplifying 25 to 52 to make both powers base five, and subtracting the exponents
 
By simplifying 25 to 52 to make both powers base five, and adding the exponents 

By finding the quotient of the bases to be, and cancelling common factors 

By finding the quotient of the bases to be, and simplifying the expression

anonymous · Answer

attachment

solomonzelman · Answer

$\LARGE\color{black}{     \frac{5^4}{25} =\frac{5^4}{5^2} =5^{4-2}=5^2=25}$

anonymous · Answer

So does that make it D ? @SolomonZelman

solomonzelman · Answer

I don't really understand the first part of the sentence of option D.

anonymous · Answer

Im confused on which answer to choose

solomonzelman · Answer

It is definitely not C, because you are NOT canceling common factors.
Not B, because you don't add the exponents.

A.   you make the 25 to 5 base five raise to power of 2, and subtract exponents   as I showed.

anonymous · Answer

thank you so much !