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Popular >

simplify 10.2x^2e^{-0.4x}

Solution

simplify

10.2 x^{2} e^{- 0.4 x}

Solution

\frac{10.2 x ^{2}}{e ^{0.4 x}}

Solution steps

10.2 x^{2} e^{- 0.4 x}

Apply exponent rule:

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

= 10.2 \cdot \frac{1}{e ^{0.4 x}} x^{2}

Multiply fractions:

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

= 10.2 \cdot \frac{1 \cdot x ^{2}}{e ^{0.4 x}}

Multiply:

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

= 10.2 \cdot \frac{x ^{2}}{e ^{0.4 x}}

Multiply fractions:

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

= \frac{x ^{2} \cdot 10.2}{e ^{0.4 x}}

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Frequently Asked Questions (FAQ)

What is 10.2x^2e^{-0.4x} ?
The solution to 10.2x^2e^{-0.4x} is (10.2x^2)/(e^{0.4x)}