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} \cdot 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 e^{-cos(x)}simplify

e^{- c o s (x)}

simplify sqrt(e^{x^2)}simplify

e^{x^{2}}

simplify \sqrt[4]{8^3}simplify

simplify e^{-xy}simplify

e^{- x y}

simplify (s+2)^2(s-2)^2 simplify

(s + 2)^{2} (s - 2)^{2}

Frequently Asked Questions (FAQ)

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