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Popular >

simplify sin(t)e^{-st}

Solution

simplify

sin (t) e^{- s t}

Solution

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

Solution steps

sin (t) e^{- s t}

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

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

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

Popular Examples

simplify 6.67*10^{-11}(4*2)/(0.4^2)simplify

6.67 \cdot 1 0^{- 11} \frac{4 \cdot 2}{0. 4 ^{2}}

simplify ((x+1)^2)/((x+2)^2)simplify

\frac{( x + 1 ) ^{2}}{( x + 2 ) ^{2}}

simplify (e^{-4x})/(e^{-4x)}simplify

\frac{e ^{- 4 x}}{e ^{- 4 x}}

simplify (6ab)(5ab^2)simplify

(6 ab) (5 a b^{2})

simplify-100e^{-8/10}simplify

- 100 e^{- \frac{8}{10}}

Frequently Asked Questions (FAQ)

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