en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify e^{x^2}*e^{x^{-2}}

Solution

simplify

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

Solution

e^{x^{2} + \frac{1}{x ^{2}}}

Solution steps

e^{x^{2}} e^{x^{- 2}}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

e^{x^{2}} e^{x^{- 2}} = e^{x^{2} + x^{- 2}}

= e^{x^{2} + x^{- 2}}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= e^{x^{2} + \frac{1}{x ^{2}}}

Popular Examples

simplify (\sqrt[4]{xy^2})^3 simplify

simplify-420e^{-0.07(10)}simplify

- 420 e^{- 0.07 (10)}

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

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

simplify [(-3)^3]^3 simplify

[(- 3)^{3}]^{3}

simplify e^{-3ln|x+1|}simplify

e^{- 3 l n ∣ x + 1 ∣}

Frequently Asked Questions (FAQ)

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