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Popular >

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

Apply rule

- (- 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 simplify-e^{-x}*(-e^x) ?
The solution to simplify-e^{-x}*(-e^x) is 1