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Popular >

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

Solution

simplify

Solution

e^{x}

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

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

Simplify

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

= e^{x}

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Frequently Asked Questions (FAQ)

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