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Popular >

simplify e^{-at}u(t-1)

Solution

simplify

e^{- a t} u (t - 1)

Solution

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

Solution steps

e^{- a t} u (t - 1)

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

1 \cdot u = u

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

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Frequently Asked Questions (FAQ)

What is e^{-at}u(t-1) ?
The solution to e^{-at}u(t-1) is (u(t-1))/(e^{at)}