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Popular >

simplify \sqrt[3]{2}^x

Solution

simplify

Solution

2^{\frac{x}{3}}

Solution steps

Apply radical rule:

= (2^{\frac{1}{3}})^{x}

Apply exponent rule:

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

= 2^{\frac{1}{3} x}

Simplify

\frac{1}{3} x : \frac{x}{3}

= 2^{\frac{x}{3}}

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Frequently Asked Questions (FAQ)

What is \sqrt[3]{2}^x ?
The solution to \sqrt[3]{2}^x is 2^{x/3}