What is e^{-2t}sin(sqrt(t)) ?

The solution to e^{-2t}sin(sqrt(t)) is (sin(sqrt(t)))/(e^{2t)}

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simplify e^{-2t}sin(sqrt(t))

simplify

e^{- 2 t} sin (t)

\frac{sin ( t )}{e ^{2 t}}

Solution steps

e^{- 2 t} sin (t)

Apply exponent rule:

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

= \frac{1}{e ^{2 t}} sin (t)

Multiply fractions:

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

= \frac{1 \cdot sin ( t )}{e ^{2 t}}

Multiply:

1 \cdot sin (t) = sin (t)

= \frac{sin ( t )}{e ^{2 t}}

4 \cdot 1 0^{20} (4 π)

2 \cdot 1 0^{- 7} \cdot 0.1

(5.85 \cdot 1 0^{- 3}) \cdot 1060

(0.32) 1 0^{- 8} (120)

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

What is e^{-2t}sin(sqrt(t)) ?
The solution to e^{-2t}sin(sqrt(t)) is (sin(sqrt(t)))/(e^{2t)}