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Popular >

simplify (x^2)/2 e^{-x}

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

x^{2} \cdot 1 = x^{2}

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

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Frequently Asked Questions (FAQ)

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