en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify be^{-at}u(t)

Solution

simplify

b e^{- a t} u (t)

Solution

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

Solution steps

b e^{- a t} u (t)

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

1 \cdot b = b

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

Popular Examples

simplify (e^{x^2})(2xe^{-x^2})simplify

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

simplify (2sqrt(x))(2xsqrt(x))simplify

(2 x) (2 x x)

simplify e^{x-x^2}*xe^{-x}simplify

e^{x - x^{2}} \cdot x e^{- x}

simplify 2190*e^{-0.3*2}simplify

2190 \cdot e^{- 0.3 \cdot 2}

simplify 140000(1+0.04)^{-2*40}simplify

140000 (1 + 0.04)^{- 2 \cdot 40}

Frequently Asked Questions (FAQ)

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