en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify e^{-at}*a(t)

Solution

simplify

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

Solution

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

Solution steps

e^{- a t} a (t)

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

1 \cdot a = a

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

Popular Examples

simplify [e^{1/3}]^6 simplify

[e^{\frac{1}{3}}]^{6}

simplify 2.3x10^{-10}simplify

2.3 x 1 0^{- 10}

simplify 62.2*10^{-3}simplify

62.2 \cdot 1 0^{- 3}

simplify 7^{-log_{7}(x)}simplify

7^{- l o g_{7} (x)}

simplify xyz*(3y^2)simplify

x yz \cdot (3 y^{2})

Frequently Asked Questions (FAQ)

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