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^{-2t})

Solution

simplify

e^{t} (e^{- 2 t})

Solution

e^{- t}

Solution steps

e^{t} (e^{- 2 t})

Apply exponent rule:

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

e^{t} e^{- 2 t} = e^{t - 2 t}

= e^{t - 2 t}

Add similar elements:

t - 2 t = - t

= e^{- t}

Popular Examples

simplify (r-9)^4(r+9)^4 simplify

(r - 9)^{4} (r + 9)^{4}

simplify 196x^4y^4 simplify

196 x^{4} y^{4}

simplify sqrt(x+2)*sqrt(x+3)simplify

x + 2 \cdot x + 3

simplify (\sqrt[5]{x^4})^2 simplify

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

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

Frequently Asked Questions (FAQ)

What is e^t(e^{-2t}) ?
The solution to e^t(e^{-2t}) is e^{-t}