How do you write $9^{\frac{5}{3}}$ $9^(5/3)$ in radical form?

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Answer 1 · 2016-08-08T19:55:07

$9^{\frac{5}{3}} = \sqrt[3]{9^{5}} = {\sqrt[3]{9}}^{5}$ $9^(5/3) = root3(9^5) = root3(9)^5$

Using the laws of indices.

$\sqrt[q]{x^{p}} = x^{\frac{p}{q}}$ $rootq(x^p) = x^(p/q)$

$9^{\frac{5}{3}} = \sqrt[3]{9^{5}} = {\sqrt[3]{9}}^{5}$ $9^(5/3) = root3(9^5) = root3(9)^5$

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