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Popular >

simplify x^3\times e^{-x^2}

Solution

simplify

x^{3} \cdot e^{- x^{2}}

Solution

\frac{x ^{3}}{e ^{x^{2}}}

Solution steps

x^{3} e^{- x^{2}}

Apply exponent rule:

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

= \frac{1}{e ^{x^{2}}} x^{3}

Multiply fractions:

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

= \frac{1 \cdot x ^{3}}{e ^{x^{2}}}

Multiply:

1 \cdot x^{3} = x^{3}

= \frac{x ^{3}}{e ^{x^{2}}}

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Frequently Asked Questions (FAQ)

What is x^3\times e^{-x^2} ?
The solution to x^3\times e^{-x^2} is (x^3)/(e^{x^2)}