What is x/(xy)(e^{-x}sin(y)) ?

The solution to x/(xy)(e^{-x}sin(y)) is (sin(y))/(e^xy)

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simplify x/(xy)(e^{-x}sin(y))

simplify

\frac{x}{x y} (e^{- x} sin (y))

\frac{sin ( y )}{e ^{x} y}

Solution steps

\frac{x}{x y} (e^{- x} sin (y))

Apply exponent rule:

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

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

Multiply fractions:

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

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

Cancel the common factor:

x

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

Multiply:

1 \cdot sin (y) = sin (y)

= \frac{sin ( y )}{e ^{x} y}

(5.8 \cdot 1 0^{- 9}) (2 \cdot 1 0^{- 5})

e^{- a t} \cdot a (t)

[e^{\frac{1}{3}}]^{6}

2.3 x 1 0^{- 10}

62.2 \cdot 1 0^{- 3}

What is x/(xy)(e^{-x}sin(y)) ?
The solution to x/(xy)(e^{-x}sin(y)) is (sin(y))/(e^xy)