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Popular >

simplify xe^{-x^5}(-5)

Solution

simplify

x e^{- x^{5}} (- 5)

Solution

- \frac{5 x}{e ^{x^{5}}}

Solution steps

x e^{- x^{5}} (- 5)

Apply exponent rule:

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

= (- 5) \frac{1}{e ^{x^{5}}} x

Remove parentheses:

(- a) = - a

= - x \frac{1}{e ^{x^{5}}} \cdot 5

Multiply fractions:

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

= - \frac{1 \cdot x \cdot 5}{e ^{x^{5}}}

Multiply the numbers:

1 \cdot 5 = 5

= - \frac{5 x}{e ^{x^{5}}}

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Frequently Asked Questions (FAQ)

What is xe^{-x^5}(-5) ?
The solution to xe^{-x^5}(-5) is -(5x)/(e^{x^5)}