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Popular >

simplify (e^{(-w^2)/(16)})^2

Solution

simplify

(e^{\frac{- w ^{2}}{16}})^{2}

Solution

e^{- \frac{w ^{2}}{8}}

Solution steps

(e^{\frac{- w ^{2}}{16}})^{2}

Apply exponent rule:

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

= e^{\frac{- w ^{2}}{16} \cdot 2}

Simplify

\frac{- w ^{2}}{16} \cdot 2 : - \frac{w ^{2}}{8}

= e^{- \frac{w ^{2}}{8}}

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Frequently Asked Questions (FAQ)

What is (e^{(-w^2)/(16)})^2 ?
The solution to (e^{(-w^2)/(16)})^2 is e^{-(w^2)/8}