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Popular >

simplify x^{-3}e^y(xy)

Solution

simplify

x^{- 3} e^{y} (x y)

Solution

\frac{e ^{y} y}{x ^{2}}

Solution steps

x^{- 3} e^{y} (x y)

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

x^{- 3} x = x^{- 3 + 1}

= e^{y} x^{- 3 + 1} y

Add/Subtract the numbers:

- 3 + 1 = - 2

= e^{y} x^{- 2} y

Apply exponent rule:

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

x^{- 2} = \frac{1}{x ^{2}}

= e^{y} \frac{1}{x ^{2}} y

Multiply fractions:

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

= \frac{1 \cdot e ^{y} y}{x ^{2}}

Multiply:

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

= \frac{e ^{y} y}{x ^{2}}

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(2 π (124))^{2} 1 \cdot 1 0^{- 3}

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Frequently Asked Questions (FAQ)

What is x^{-3}e^y(xy) ?
The solution to x^{-3}e^y(xy) is (e^yy)/(x^2)