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Popular >

simplify x^{2n}*e^{-x^2}

Solution

simplify

x^{2 n} \cdot e^{- x^{2}}

Solution

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

Solution steps

x^{2 n} e^{- x^{2}}

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

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

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

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Frequently Asked Questions (FAQ)

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