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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

e^{- x} x^{- 1}

Apply exponent rule:

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

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 1 = 1

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

Popular Examples

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6.6 \cdot 1 0^{- 10}

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1.2043 \cdot 1 0^{- 7}

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2 t

simplify e^{-1/(ln(k))}simplify

e^{- \frac{1}{l n ( k )}}

Frequently Asked Questions (FAQ)

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