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Popular >

simplify \sqrt[3]{e^4}

Solution

simplify

Solution

e^{\frac{4}{3}}

+1

Decimal Notation

3.79366 \dots

Solution steps

Apply radical rule:

= (e^{4})^{\frac{1}{3}}

Apply exponent rule:

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

= e^{4 \cdot \frac{1}{3}}

4 \cdot \frac{1}{3} = \frac{4}{3}

= e^{\frac{4}{3}}

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Frequently Asked Questions (FAQ)

What is \sqrt[3]{e^4} ?
The solution to \sqrt[3]{e^4} is e^{4/3}