Problem

Select the equivalent expression.
\[
\sqrt[16]{\frac{a^{-6}}{a^{2}}}
\]

Answer

Expert–verified

Hide Steps

Answer

\( = a^{\frac{-8}{16}} \)

Steps

Step 1 ：\( = \sqrt[16]{a^{-6 - 2}} \)

Step 2 ：\( = \sqrt[16]{a^{-8}} \)

Step 3 ：\( = a^{\frac{-8}{16}} \)

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