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Popular >

simplify \sqrt[3]{e^{1.5}}

Solution

simplify

Solution

1.64872 \dots

Solution steps

Apply radical rule:

= (e^{1.5})^{\frac{1}{3}}

Apply exponent rule:

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

= e^{1.5 \cdot \frac{1}{3}}

1.5 \cdot \frac{1}{3} = 0.5

= e^{0.5}

a^{\frac{1}{2}} = a

= e

e = 1.64872 \dots

= 1.64872 \dots

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Frequently Asked Questions (FAQ)

What is \sqrt[3]{e^{1.5}} ?
The solution to \sqrt[3]{e^{1.5}} is 1.64872…