What is (e^{-((x^2)/5)-((y^2)/5)})^2 ?

The solution to (e^{-((x^2)/5)-((y^2)/5)})^2 is e^{(2(-x^2-y^2))/5}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (e^{-((x^2)/5)-((y^2)/5)})^2

simplify

(e^{- (\frac{x ^{2}}{5}) - (\frac{y ^{2}}{5})})^{2}

e^{\frac{2 ( - x ^{2} - y ^{2} )}{5}}

Solution steps

(e^{- (\frac{x ^{2}}{5}) - (\frac{y ^{2}}{5})})^{2}

Apply exponent rule:

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

= e^{(- \frac{x ^{2}}{5} - \frac{y ^{2}}{5}) \cdot 2}

Simplify

(- \frac{x ^{2}}{5} - \frac{y ^{2}}{5}) \cdot 2 : \frac{2 ( - x ^{2} - y ^{2} )}{5}

= e^{\frac{2 ( - x ^{2} - y ^{2} )}{5}}

\frac{x ^{2}}{( 0.2 - x ) ^{2}}

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

5^{1}

10000 e^{- 0.02 p}

What is (e^{-((x^2)/5)-((y^2)/5)})^2 ?
The solution to (e^{-((x^2)/5)-((y^2)/5)})^2 is e^{(2(-x^2-y^2))/5}