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Popular >

simplify (\sqrt[3]{x})^{4/3}

Solution

simplify

Solution

x^{\frac{4}{9}}

Solution steps

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

= x^{\frac{1}{3} \cdot \frac{4}{3}}

\frac{1}{3} \cdot \frac{4}{3} = \frac{4}{9}

= x^{\frac{4}{9}}

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Frequently Asked Questions (FAQ)

What is (\sqrt[3]{x})^{4/3} ?
The solution to (\sqrt[3]{x})^{4/3} is x^{4/9}