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Popular >

simplify (e^x)/x*x^{-4}

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

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

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

x x^{4} = x^{5}

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

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Frequently Asked Questions (FAQ)

What is (e^x)/x*x^{-4} ?
The solution to (e^x)/x*x^{-4} is (e^x)/(x^5)