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Popular >

simplify (e^{3/2})sqrt(e)

Solution

simplify

(e^{\frac{3}{2}}) e

Solution

e^{2}

+1

Decimal Notation

7.38905 \dots

Solution steps

(e^{\frac{3}{2}}) e

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

e^{\frac{3}{2}} e = e^{\frac{3}{2}} e^{\frac{1}{2}} = e^{\frac{3}{2} + \frac{1}{2}}

= e^{\frac{3}{2} + \frac{1}{2}}

Combine the fractions

\frac{3}{2} + \frac{1}{2} : 2

= e^{2}

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Frequently Asked Questions (FAQ)

What is (e^{3/2})sqrt(e) ?
The solution to (e^{3/2})sqrt(e) is e^2