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Popular >

simplify e^{-x}*x^{k+1}

Solution

simplify

e^{- x} \cdot x^{k + 1}

Solution

\frac{x ^{k + 1}}{e ^{x}}

Solution steps

e^{- x} x^{k + 1}

Apply exponent rule:

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

= \frac{1}{e ^{x}} x^{k + 1}

Multiply fractions:

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

= \frac{1 \cdot x ^{k + 1}}{e ^{x}}

Multiply:

1 \cdot x^{k + 1} = x^{k + 1}

= \frac{x ^{k + 1}}{e ^{x}}

Popular Examples

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3 (6.67 \cdot 1 0^{- 23})

simplify-0.984*e^{-0.0123*2}simplify

- 0.984 \cdot e^{- 0.0123 \cdot 2}

simplify-200(-0.002)e^{-200(0.005)}simplify

- 200 (- 0.002) e^{- 200 (0.005)}

Frequently Asked Questions (FAQ)

What is e^{-x}*x^{k+1} ?
The solution to e^{-x}*x^{k+1} is (x^{k+1})/(e^x)