en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify te^{-t}u(-t)

Solution

simplify

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

Solution

- \frac{t ^{2} u}{e ^{t}}

Solution steps

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

Apply exponent rule:

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

= \frac{1}{e ^{t}} t u (- t)

Remove parentheses:

(- a) = - a

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

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

tt = t^{1 + 1}

= - \frac{1}{e ^{t}} u t^{1 + 1}

Add the numbers:

1 + 1 = 2

= - \frac{1}{e ^{t}} u t^{2}

Multiply fractions:

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

= - \frac{1 \cdot u t ^{2}}{e ^{t}}

Multiply:

1 \cdot u = u

= - \frac{t ^{2} u}{e ^{t}}

Popular Examples

simplify e^{-ln(x^3)}simplify

e^{- l n (x^{3})}

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

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

simplify e^{ax}*e^{ax}simplify

e^{a x} \cdot e^{a x}

simplify \sqrt[3]{8^{-4}}simplify

simplify 2.3x10^{-5}simplify

2.3 x 1 0^{- 5}

Frequently Asked Questions (FAQ)

What is te^{-t}u(-t) ?
The solution to te^{-t}u(-t) is -(t^2u)/(e^t)