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Popular >

simplify e^{-3x}*sin(2x)

Solution

simplify

e^{- 3 x} \cdot sin (2 x)

Solution

\frac{sin ( 2 x )}{e ^{3 x}}

Solution steps

e^{- 3 x} sin (2 x)

Apply exponent rule:

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

= \frac{1}{e ^{3 x}} sin (2 x)

Multiply fractions:

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

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

Multiply:

1 \cdot sin (2 x) = sin (2 x)

= \frac{sin ( 2 x )}{e ^{3 x}}

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Frequently Asked Questions (FAQ)

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