What is e^{-t}sin(h)(4t) ?

The solution to e^{-t}sin(h)(4t) is (4tsin(h))/(e^t)

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simplify e^{-t}sin(h)(4t)

simplify

e^{- t} sin (h) (4 t)

\frac{4 t sin ( h )}{e ^{t}}

Solution steps

e^{- t} sin (h) (4 t)

Apply exponent rule:

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

= 4 \cdot \frac{1}{e ^{t}} t sin (h)

Multiply fractions:

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

= \frac{1 \cdot sin ( h ) \cdot 4 t}{e ^{t}}

Multiply the numbers:

1 \cdot 4 = 4

= \frac{4 t sin ( h )}{e ^{t}}

(4 y^{5}) (10 y^{3})

- e^{- \frac{5}{4}}

(2 - x)^{- 2}

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

e^{2 u}