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Popular >

simplify \sqrt[3]{e^x}

Solution

simplify

Solution

e^{\frac{x}{3}}

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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