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Popular >

simplify e^{-t}*((t-1)e^t)

Solution

simplify

e^{- t} \cdot ((t - 1) e^{t})

Solution

t - 1

Solution steps

e^{- t} ((t - 1) e^{t})

Apply exponent rule:

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

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

= (t - 1) e^{- t + t}

Add similar elements:

- t + t = 0

= (t - 1) e^{0}

Apply rule

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

e^{0} = 1

= 1 \cdot (t - 1)

Multiply:

(t - 1) \cdot 1 = (t - 1)

= (t - 1)

Remove parentheses:

(a) = a

= t - 1

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Frequently Asked Questions (FAQ)

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