What is e^{(-2|t|)}sin(3t) ?

The solution to e^{(-2|t|)}sin(3t) is (sin(3t))/(e^{2|t|)}

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simplify e^{(-2|t|)}sin(3t)

simplify

e^{(- 2 ∣ t ∣)} sin (3 t)

\frac{sin ( 3 t )}{e ^{2 ∣ t ∣}}

Solution steps

e^{(- 2 ∣ t ∣)} sin (3 t)

Apply exponent rule:

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

= \frac{1}{e ^{2 ∣ t ∣}} sin (3 t)

Multiply fractions:

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

= \frac{1 \cdot sin ( 3 t )}{e ^{2 ∣ t ∣}}

Multiply:

1 \cdot sin (3 t) = sin (3 t)

= \frac{sin ( 3 t )}{e ^{2 ∣ t ∣}}

\frac{7 ^{\frac{1}{3}}}{4 ^{\frac{1}{3}}}

80 e^{- 0.1732800000000 \dots}

\frac{x ^{2}}{( 9 - x ) ^{2}}

(9.11 (1 0^{- 31})) (3 (1 0^{8}))^{2}

- 21.28 \cdot e^{- 2}

What is e^{(-2|t|)}sin(3t) ?
The solution to e^{(-2|t|)}sin(3t) is (sin(3t))/(e^{2|t|)}