Answer
$5a$
Work Step by Step
Using $\dfrac{a^x}{a^y}=a^{x-y}$, then the expression, $
\dfrac{(5a)^7}{(5a)^6}
$, simplifies to
\begin{array}{l}\require{cancel}
(5a)^{7-6}
\\\\=
(5a)^{1}
\\\\=
5a
.\end{array}
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.