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Popular >

simplify e^{-0.5x^2}x^2

Solution

simplify

e^{- 0.5 x^{2}} x^{2}

Solution

\frac{x ^{2}}{e ^{0.5 x^{2}}}

Solution steps

e^{- 0.5 x^{2}} x^{2}

Apply exponent rule:

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

= \frac{1}{e ^{0.5 x^{2}}} x^{2}

Multiply fractions:

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

= \frac{1 \cdot x ^{2}}{e ^{0.5 x^{2}}}

Multiply:

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

= \frac{x ^{2}}{e ^{0.5 x^{2}}}

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Frequently Asked Questions (FAQ)

What is e^{-0.5x^2}x^2 ?
The solution to e^{-0.5x^2}x^2 is (x^2)/(e^{0.5x^2)}