5th root of -32 raise to the power of -4

asked by guest
on Nov 14, 2024 at 9:09 am



You asked:

Evaluate the expression: −32−45\sqrt[5]{-{32}^{-4}}

MathBot Answer:

−32−45=−1516\sqrt[5]{-{32}^{-4}} = \frac{\sqrt[5]{-1}}{16}

−32−45=−13245=−110485765=−110485765=116⋅−15\begin{aligned}\sqrt[5]{-{32}^{-4}}&=\sqrt[5]{- \frac{1}{32^{4}}}\\&=\sqrt[5]{\frac{-1}{1048576}}\\&=\sqrt[5]{- \frac{1}{1048576}}\\&=\frac{1}{16} \cdot \sqrt[5]{-1}\end{aligned}

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