How do you write $\sqrt[3]{b^{2}}$ $root3(b^2)$ as an exponential expression?

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Answer 1 · 2017-04-13T10:10:34

You have to use that $\sqrt[n]{b} = b^{\frac{1}{n}}$ $rootn b=b^(1/n)$

Using the equality above your have:

$\sqrt[3]{b^{2}} = {(b^{2})}^{\frac{1}{3}}$ $root3 (b^2)=(b^2)^(1/3)$ , so the exponents multiply and you have:

$\sqrt[3]{b^{2}} = b^{\frac{2}{3}}$ $root3 (b^2)=b^(2/3)$

and that's the answer

How do you write 3√b2root3(b^2) as an exponential expression?