simplify xe^{-xy}

Solution

simplify

x e^{- x y}

\frac{x}{e ^{x y}}

Solution steps

x e^{- x y}

Apply exponent rule:

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

= \frac{1}{e ^{x y}} x

Multiply fractions:

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

= \frac{1 \cdot x}{e ^{x y}}

Multiply:

1 \cdot x = x

= \frac{x}{e ^{x y}}

165 \cdot 2 π \cdot 3 \cdot 1 0^{- 3}

1.4 \cdot 1.1 \cdot (\frac{1885}{331}) \cdot 1.46 \cdot 1 0^{- 5}

(2 x - 1) \cdot e^{- x}

e^{t} (cos (t) - sin (t)) \cdot 2 e^{t} cos (t)

(0.08 \cdot 5) (0.008 \cdot 5^{2} + 1)^{2} \cdot 5