Question

Simplify the expression, and rationalize the denominator when appropriate. $$\sqrt[5]{-64}$$

          Simplify the expression, and rationalize the denominator when appropriate.
$$\sqrt[5]{-64}$$

Added by Kenneth E.

Precalculus with Limits

Ron Larson 2nd Edition

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Solved by Expert Scott Mcclendon

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Then, we can use the property of roots that says $\sqrt[n]{a^m} = a^{m/n}$ to write: $$\sqrt[5]{-2^6} = \sqrt[5]{(-1)\cdot 2^6} = \sqrt[5]{-1}\cdot \sqrt[5]{2^6}$$ The fifth root of $-1$ is $-1$, since $(-1)^5 = -1$. Show more…

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Simplify the expression, and rationalize the denominator when appropriate. $$\sqrt[5]{-64}$$

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Simplify the expression, and rationalize the denominator when appropriate. $$\sqrt[5]{-64}$$

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