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Popular >

simplify e^{-ax}sin(bx)

Solution

simplify

e^{- a x} sin (b x)

Solution

\frac{sin ( b x )}{e ^{a x}}

Solution steps

e^{- a x} sin (b x)

Apply exponent rule:

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

= \frac{1}{e ^{a x}} sin (b x)

Multiply fractions:

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

= \frac{1 \cdot sin ( b x )}{e ^{a x}}

Multiply:

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

= \frac{sin ( b x )}{e ^{a x}}

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Frequently Asked Questions (FAQ)

What is e^{-ax}sin(bx) ?
The solution to e^{-ax}sin(bx) is (sin(bx))/(e^{ax)}