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Popular >

simplify e^{-t/2}*e^{-t/2}

Solution

simplify

e^{- \frac{t}{2}} \cdot e^{- \frac{t}{2}}

Solution

e^{- t}

Solution steps

e^{- \frac{t}{2}} e^{- \frac{t}{2}}

Apply exponent rule:

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

e^{- \frac{t}{2}} e^{- \frac{t}{2}} = e^{- \frac{t}{2} - \frac{t}{2}}

= e^{- \frac{t}{2} - \frac{t}{2}}

Combine the fractions

- \frac{t}{2} - \frac{t}{2} : - t

= e^{- t}

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Frequently Asked Questions (FAQ)

What is e^{-t/2}*e^{-t/2} ?
The solution to e^{-t/2}*e^{-t/2} is e^{-t}