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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})

Apply exponent rule:

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

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

Remove parentheses:

(- a) = - a

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

Multiply fractions:

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

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

Cancel the common factor:

e^{t}

= - 1

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Frequently Asked Questions (FAQ)

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