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Popular >

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

Solution

simplify

(- e^{x}) (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

= - e^{x} \frac{1}{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)(e^{-x}) ?
The solution to (-e^x)(e^{-x}) is -1