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 t} 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 (sqrt(x^2+y^2))^2 simplify

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

simplify e^{-11}simplify

e^{- 11}

simplify (sqrt(7))^3 simplify

(7)^{3}

simplify (12x^3)(4x)simplify

(12 x^{3}) (4 x)

simplify-e^{-ln(x)}simplify

- e^{- l n (x)}

Frequently Asked Questions (FAQ)

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