How do you write $64^{\frac{1}{3}}$ $64^(1/3)$ in radical form?

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How do you write $64^{\frac{1}{3}}$ $64^(1/3)$ in radical form?

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Answer 1 · 2017-10-07T08:48:23

$\sqrt[3]{64}$ $root(3)(64)$

Explanation:

$using the law of exponents$ $"using the "color(blue)"law of exponents"$

$∙ x a^{\frac{m}{n}} \Leftrightarrow \sqrt[n]{a^{m}}$ $•color(white)(x)a^(m/n)hArrroot(n)(a^m)$

$\Rightarrow 64^{\frac{1}{3}} = \sqrt[3]{64^{1}} = \sqrt[3]{64}$ $rArr64^(1/3)=root(3)(64^1)=root(3)(64)$

$note \sqrt[3]{64} = 4$ $"note "root(3)(64)=4$

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How do you write $64^{\frac{1}{3}}$ $64^(1/3)$ in radical form?

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