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Popular >

simplify 2x^4*e^{-2x}

Solution

simplify

2 x^{4} \cdot e^{- 2 x}

Solution

\frac{2 x ^{4}}{e ^{2 x}}

Solution steps

2 x^{4} e^{- 2 x}

Apply exponent rule:

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

= 2 \cdot \frac{1}{e ^{2 x}} x^{4}

Multiply fractions:

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

= \frac{1 \cdot 2 x ^{4}}{e ^{2 x}}

Multiply the numbers:

1 \cdot 2 = 2

= \frac{2 x ^{4}}{e ^{2 x}}

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Frequently Asked Questions (FAQ)

What is 2x^4*e^{-2x} ?
The solution to 2x^4*e^{-2x} is (2x^4)/(e^{2x)}