How do you express $8^{\frac{5}{3}}$ $8^(5/3)$ in simplest radical form?

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Answer 1 · 2015-07-15T21:24:18

In normal form it would mean ${\sqrt[3]{8}}^{5}$ $root3 8^5$

But let's look at the $8 = 2^{3}$ $8=2^3$

So we take the third (or cubic) root of something that is to the third power:

${(\sqrt[3]{2^{3}})}^{5} = 2^{5} = 32$ $(root 3(2^3))^5=2^5=32$

How do you express 8^(5/3)8538^(5/3) in simplest radical form?