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Popular >

simplify 8x^3e^{-2x^2}

Solution

simplify

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

Solution

\frac{8 x ^{3}}{e ^{2 x^{2}}}

Solution steps

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

Apply exponent rule:

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

= 8 \cdot \frac{1}{e ^{2 x^{2}}} x^{3}

Multiply fractions:

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

= \frac{1 \cdot 8 x ^{3}}{e ^{2 x^{2}}}

Multiply the numbers:

1 \cdot 8 = 8

= \frac{8 x ^{3}}{e ^{2 x^{2}}}

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Frequently Asked Questions (FAQ)

What is 8x^3e^{-2x^2} ?
The solution to 8x^3e^{-2x^2} is (8x^3)/(e^{2x^2)}