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Popular >

simplify \sqrt[3]{2^{x+1}}

Solution

simplify

Solution

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

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

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

Simplify

(x + 1) \frac{1}{3} : \frac{x + 1}{3}

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

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Frequently Asked Questions (FAQ)

What is \sqrt[3]{2^{x+1}} ?
The solution to \sqrt[3]{2^{x+1}} is 2^{(x+1)/3}