What is (e^{-(x^2)/(c^2)})^2 ?

The solution to (e^{-(x^2)/(c^2)})^2 is e^{-(2x^2)/(c^2)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

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

Solution steps

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

Apply exponent rule:

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

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

Simplify

(- \frac{x ^{2}}{c ^{2}}) \cdot 2 : - \frac{2 x ^{2}}{c ^{2}}

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

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

25 a^{2} b^{2}

- b x

x \cdot x - 2

e^{- l n (1 + t^{2})}

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