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

domain of f(t)=(e^{-4t})^2 domain

f (t) = (e^{- 4 t})^{2}

simplify 6\sqrt[4]{x^3}simplify

simplify sqrt(3+x)sqrt(x+3)simplify

3 + x x + 3

simplify e^{-2*10000*0.02^2}simplify

e^{- 2 \cdot 10000 \cdot 0.0 2^{2}}

simplify 20000e^{-0.4(3)}simplify

20000 e^{- 0.4 (3)}

Frequently Asked Questions (FAQ)

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