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} (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 \sqrt[3]{2}^2 simplify

simplify (\sqrt[7]{7sqrt(7\sqrt{7)}})^2 simplify

simplify \sqrt[5]{y^2}simplify

simplify \sqrt[10]{x^2}simplify

simplify (sqrt(x+\sqrt{x+\sqrt{x)}})/(sqrt(x+1))simplify

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

Frequently Asked Questions (FAQ)

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