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Popular >

simplify (x^2+y^2)e^{-xy}

Solution

simplify

(x^{2} + y^{2}) e^{- x y}

Solution

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

Solution steps

(x^{2} + y^{2}) e^{- x y}

Apply exponent rule:

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

= \frac{1}{e ^{x y}} (x^{2} + y^{2})

Multiply fractions:

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

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

1 \cdot (x^{2} + y^{2}) = x^{2} + y^{2}

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

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a^{- \frac{1}{2} = 5}

Frequently Asked Questions (FAQ)

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