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Popular >

simplify \sqrt[5]{2^x}

Solution

simplify

Solution

2^{\frac{x}{5}}

Solution steps

Apply radical rule:

= (2^{x})^{\frac{1}{5}}

Apply exponent rule:

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

= 2^{x \frac{1}{5}}

Simplify

x \frac{1}{5} : \frac{x}{5}

= 2^{\frac{x}{5}}

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Frequently Asked Questions (FAQ)

What is \sqrt[5]{2^x} ?
The solution to \sqrt[5]{2^x} is 2^{x/5}