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Popular >

simplify e^{-t}L(t)

Solution

simplify

e^{- t} L (t)

Solution

\frac{L t}{e ^{t}}

Solution steps

e^{- t} L (t)

Apply exponent rule:

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

= L \frac{1}{e ^{t}} t

Multiply fractions:

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

= \frac{1 L t}{e ^{t}}

Multiply:

1 L = L

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

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Frequently Asked Questions (FAQ)

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