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Popular >

simplify e^{-x}\times (-e^x)

Solution

simplify

e^{- x} \cdot (- e^{x})

Solution

- 1

Solution steps

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

Apply exponent rule:

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

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

Remove parentheses:

(- a) = - a

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

Multiply fractions:

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

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

Cancel the common factor:

e^{x}

= - 1

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Frequently Asked Questions (FAQ)

What is e^{-x}\times (-e^x) ?
The solution to e^{-x}\times (-e^x) is -1