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Popular >

simplify \sqrt[3]{e^5}

Solution

simplify

Solution

e^{\frac{5}{3}}

+1

Decimal Notation

5.29449 \dots

Solution steps

Apply radical rule:

= (e^{5})^{\frac{1}{3}}

Apply exponent rule:

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

= e^{5 \cdot \frac{1}{3}}

5 \cdot \frac{1}{3} = \frac{5}{3}

= e^{\frac{5}{3}}

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Frequently Asked Questions (FAQ)

What is \sqrt[3]{e^5} ?
The solution to \sqrt[3]{e^5} is e^{5/3}