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Popular >

simplify e^{-at}sin(w)t

Solution

simplify

e^{- a t} sin (w) t

Solution

\frac{t sin ( w )}{e ^{a t}}

Solution steps

e^{- a t} sin (w) t

Apply exponent rule:

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

= \frac{1}{e ^{a t}} t sin (w)

Multiply fractions:

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

= \frac{1 \cdot sin ( w ) t}{e ^{a t}}

Multiply:

1 \cdot sin (w) = sin (w)

= \frac{t sin ( w )}{e ^{a t}}

Popular Examples

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simplify 12.3*10^{-7}simplify

12.3 \cdot 1 0^{- 7}

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\frac{1}{15 x ^{2} e ^{15 x}} (x (24 x e^{15 x}))

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(42 \cdot 1 0^{13})^{3} \cdot (6.8 \cdot 1 0^{- 7})

Frequently Asked Questions (FAQ)

What is e^{-at}sin(w)t ?
The solution to e^{-at}sin(w)t is (tsin(w))/(e^{at)}