en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify e^t\times e^{-t}

Solution

simplify

e^{t} \cdot e^{- t}

Solution

1

Solution steps

e^{t} e^{- t}

Apply exponent rule:

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

e^{t} e^{- t} = e^{t - t}

= e^{t - t}

Add similar elements:

t - t = 0

= e^{0}

Apply rule

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

= 1

Popular Examples

simplify x^3*e^{-3x}simplify

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

simplify 50.1\times 10^{-6}simplify

50.1 \times 1 0^{- 6}

simplify (sqrt(9x+1))/(sqrt(x+1))simplify

\frac{9 x + 1}{x + 1}

simplify x(200e^{-0.5x})simplify

x (200 e^{- 0.5 x})

simplify 2(3sqrt(x))(3/5 \sqrt[3]{x^2})simplify

Frequently Asked Questions (FAQ)

What is e^t\times e^{-t} ?
The solution to e^t\times e^{-t} is 1