Problem
Select the equivalent expression. \[ \sqrt[16]{\frac{a^{-6}}{a^{2}}} \]
Solution
Step 1 ：\( = \sqrt[16]{a^{-6 - 2}} \)
Step 2 ：\( = \sqrt[16]{a^{-8}} \)
Step 3 ：\( = a^{\frac{-8}{16}} \)
Step 1 ：\( = \sqrt[16]{a^{-6 - 2}} \)
Step 2 ：\( = \sqrt[16]{a^{-8}} \)
Step 3 ：\( = a^{\frac{-8}{16}} \)
