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Popular >

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

Solution

simplify

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

Solution

e^{\frac{3 x}{2}}

Solution steps

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

Apply exponent rule:

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

= e^{x \frac{3}{2}}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= e^{\frac{3 x}{2}}

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Frequently Asked Questions (FAQ)

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