Problem
Select the equivalent expression. \[ \left(\frac{d^{6}}{d^{-7}}\right)^{\frac{4}{39}} \] \( \frac{1}{\sqrt[4]{d^{3}}} \) \( \sqrt[3]{d^{4}} \) Submit Answer \( \frac{1}{\sqrt[3]{d^{4}}} \) \( \sqrt[4]{d^{3}} \)
Solution
Step 1 ：\(\left(\frac{d^{6}}{d^{-7}}\right)^{\frac{4}{39}} = \left(d^{(6 + 7)}\right)^{\frac{4}{39}}\)
Step 2 ：\(= \left(d^{13}\right)^{\frac{4}{39}}\)
Step 3 ：\(= d^{\frac{52}{39}}\)
