Problem
Select the equivalent expression. \[ \sqrt[8]{\frac{d^{-8}}{d^{-6}}} \] \( d^{-4} \) \( d^{4} \) Submit Answer \( d^{\frac{1}{4}} \) \( d^{-\frac{1}{4}} \)
Solution
Step 1 ：\sqrt[8]{\frac{d^{-8}}{d^{-6}}} = \sqrt[8]{d^{-8} \cdot d^{6}}
Step 2 ：\sqrt[8]{d^{-8+6}} = \sqrt[8]{d^{-2}}
Step 3 ：\( d^{-\frac{1}{4}} \)
