Question

Please help and explain

Answer 1

Answer:

D

Step-by-step explanation:

Yep, what you did there is correct!

The expression was: $(\frac{5^2}{4} )^4$

So let's solve this step by step.

First the numerator

$(5^2)^4$

Is the same thing as

$5^8$

Since the exponents are multiplied.

Next is the denominator
$4^4$

This can stay the same, since solving it as 4 x 4 x 4 x 4 will only make the fraction more complicated. Also, the answer choices below show that the denominator stays in exponential form.

==> $\frac{5^8}{4^4}$ is our final answer!

So the answer to this question is D. You got the question correct! :)

I hope that helped!!