en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

- e^{x} (e^{- x})

Solution

- 1

Solution steps

- e^{x} (e^{- x})

Apply exponent rule:

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

e^{x} e^{- x} = e^{x - x}

= - e^{x - x}

Add similar elements:

x - x = 0

= - e^{0}

Apply rule

a^{0} = 1, a \neq = 0

= - 1

Popular Examples

simplify ((n+1)^{100})/(n^{100)}simplify

\frac{( n + 1 ) ^{100}}{n ^{100}}

simplify-(2b^{-2})simplify

- (2 b^{- 2})

simplify 9e^{-x}simplify

9 e^{- x}

simplify (x-1)^2(x+3)^2 simplify

(x - 1)^{2} (x + 3)^{2}

simplify (5sqrt(3))(5sqrt(3))simplify

(53) (53)

Frequently Asked Questions (FAQ)

What is simplify-e^x(e^{-x}) ?
The solution to simplify-e^x(e^{-x}) is -1