en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify e^t*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 0.0025(10^{-4})^2pi simplify

0.0025 (1 0^{- 4})^{2} π

simplify 4.5*10^{-12}simplify

4.5 \cdot 1 0^{- 12}

simplify y^3(x^3+2x)^3 simplify

y^{3} (x^{3} + 2 x)^{3}

simplify 2t*e^{-st}simplify

2 t \cdot e^{- s t}

simplify w^2x^2 simplify

w^{2} x^{2}

Frequently Asked Questions (FAQ)

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