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Popular >

simplify (e^{(3x^2)/2})^{-1}

Solution

simplify

(e^{\frac{3 x ^{2}}{2}})^{- 1}

Solution

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

Solution steps

(e^{\frac{3 x ^{2}}{2}})^{- 1}

Apply exponent rule:

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

= e^{\frac{3 x ^{2}}{2} (- 1)}

Simplify

\frac{3 x ^{2}}{2} (- 1) : - \frac{3 x ^{2}}{2}

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

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Frequently Asked Questions (FAQ)

What is (e^{(3x^2)/2})^{-1} ?
The solution to (e^{(3x^2)/2})^{-1} is e^{-(3x^2)/2}