Question

simplify 5 to the power of -4 over 5 to the power of 3

Answer 1

ANSWER

$5^{-7}\text{ or }\frac{1}{5^7}$

EXPALANATION

We want to simplify the expression:

$\frac{5^{-4}}{5^3}$

Because the numerator and denominator have the same base (5), we can subtract the power of the denominator from the numerator:

$\begin{gathered} 5^{-4\text{ - 3}} \\ \Rightarrow5^{-7} \\ \Rightarrow\text{ }\frac{1}{5^7} \end{gathered}$

That is the answer.