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Popular >

simplify \sqrt[3]{e^{x^3}}

Solution

simplify

Solution

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

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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