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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}} u (- t)

Apply rule

- (- a) = a

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

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 (3\times 10^8)(6.8\times 10^{-13})simplify

(3 \times 1 0^{8}) (6.8 \times 1 0^{- 13})

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

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

simplify (x-2)^2*(x+2)^2 simplify

(x - 2)^{2} \cdot (x + 2)^{2}

simplify 2.2*10^{-16}simplify

2.2 \cdot 1 0^{- 16}

expand (1+x/2)^{-2}expand

(1 + \frac{x}{2})^{- 2}

Frequently Asked Questions (FAQ)

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