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Popular >

simplify 2(xe^{-2x})

Solution

simplify

2 (x e^{- 2 x})

Solution

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

Solution steps

2 (x e^{- 2 x})

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 2 = 2

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

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Frequently Asked Questions (FAQ)

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