en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify e^{-at}u(t)

Solution

simplify

e^{- a \cdot t} \cdot u (t)

Solution

\frac{t u}{e ^{a t}}

Solution steps

e^{- a t} u (t)

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{e ^{a t}} t u

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot u t}{e ^{a t}}

Multiply:

1 \cdot u = u

= \frac{t u}{e ^{a t}}

Popular Examples

simplify ((1+3sqrt(2))^2-17)e^{-(1+3sqrt(2))}simplify

((1 + 32)^{2} - 17) e^{- (1 + 32)}

simplify 7.9*10^{-12}simplify

7.9 \cdot 1 0^{- 12}

simplify (x+5)^2(x-5)^2 simplify

(x + 5)^{2} (x - 5)^{2}

simplify (\sqrt[3]{19y^2})/(\sqrt[3]{17x)}simplify

simplify (x^2)/((x-3)^2)simplify

\frac{x ^{2}}{( x - 3 ) ^{2}}

Frequently Asked Questions (FAQ)

What is e^{-a*t}*u(t) ?
The solution to e^{-a*t}*u(t) is (tu)/(e^{at)}