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Popular >

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

Solution

simplify

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

Solution

- 1

Solution steps

e^{t} (- e^{- t})

Remove parentheses:

(- a) = - a

= - e^{t} e^{- t}

Apply exponent rule:

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

e^{t} e^{- t} = e^{t - t}

= - e^{t - t}

Add similar elements:

t - t = 0

= - e^{0}

Apply rule

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

= - 1

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Frequently Asked Questions (FAQ)

What is e^t*(-e^{-t}) ?
The solution to e^t*(-e^{-t}) is -1