What is 25sin(2w)e^{-st} ?

The solution to 25sin(2w)e^{-st} is (25sin(2w))/(e^{st)}

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simplify 25sin(2w)e^{-st}

simplify

25 sin (2 w) e^{- s t}

\frac{25 sin ( 2 w )}{e ^{s t}}

Solution steps

25 sin (2 w) e^{- s t}

Apply exponent rule:

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

= 25 \cdot \frac{1}{e ^{s t}} sin (2 w)

Multiply fractions:

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

= \frac{1 \cdot 25 sin ( 2 w )}{e ^{s t}}

Multiply the numbers:

1 \cdot 25 = 25

= \frac{25 sin ( 2 w )}{e ^{s t}}

9.61 \cdot 1 0^{- 4}

3.05 \cdot 1 0^{- 4}

12 e^{- 0.06 \cdot 0}

What is 25sin(2w)e^{-st} ?
The solution to 25sin(2w)e^{-st} is (25sin(2w))/(e^{st)}