en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (5t)(e^{-5t})

Solution

simplify

(5 t) (e^{- 5 t})

Solution

\frac{5 t}{e ^{5 t}}

Solution steps

(5 t) (e^{- 5 t})

Apply exponent rule:

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

= 5 \cdot \frac{1}{e ^{5 t}} t

Multiply fractions:

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

= \frac{1 \cdot 5 t}{e ^{5 t}}

Multiply the numbers:

1 \cdot 5 = 5

= \frac{5 t}{e ^{5 t}}

Popular Examples

simplify (e^{3/(2x)})^2 simplify

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

expand (w(1-xw))^a expand

(w (1 - x w))^{a}

simplify-30e^{-5*0.46}simplify

- 30 e^{- 5 \cdot 0.46}

simplify (e^{-8x})/(e^x)simplify

\frac{e ^{- 8 x}}{e ^{x}}

simplify e^{-(m^2+n^2)}simplify

e^{- (m^{2} + n^{2})}

Frequently Asked Questions (FAQ)

What is (5t)(e^{-5t}) ?
The solution to (5t)(e^{-5t}) is (5t)/(e^{5t)}