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Popular >

simplify x^{(-1)/3}e^x

Solution

simplify

x^{\frac{- 1}{3}} e^{x}

Solution

\frac{e ^{x}}{x ^{\frac{1}{3}}}

Solution steps

x^{\frac{- 1}{3}} e^{x}

Apply the fraction rule:

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

= e^{x} x^{- \frac{1}{3}}

Apply exponent rule:

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

x^{- \frac{1}{3}} = \frac{1}{x ^{\frac{1}{3}}}

= e^{x} \frac{1}{x ^{\frac{1}{3}}}

Multiply fractions:

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

= \frac{1 \cdot e ^{x}}{x ^{\frac{1}{3}}}

Multiply:

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

= \frac{e ^{x}}{x ^{\frac{1}{3}}}

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Frequently Asked Questions (FAQ)

What is x^{(-1)/3}e^x ?
The solution to x^{(-1)/3}e^x is (e^x)/(x^{1/3)}