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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})

Remove parentheses:

(- a) = - a

= - e^{x} e^{- x}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

e^{x} e^{- x} = e^{x - x}

= - e^{x - x}

Add similar elements:

x - x = 0

= - e^{0}

Apply rule

a^{0} = 1, a \neq = 0

= - 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