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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

Simplify

(- \frac{x}{3}) \cdot 2 : - \frac{2 x}{3}

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

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Frequently Asked Questions (FAQ)

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