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Popular >

simplify e^{-2t}(e^t-1)

Solution

simplify

e^{- 2 t} (e^{t} - 1)

Solution

\frac{e ^{t} - 1}{e ^{2 t}}

Solution steps

e^{- 2 t} (e^{t} - 1)

Apply exponent rule:

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

= \frac{1}{e ^{2 t}} (e^{t} - 1)

Multiply fractions:

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

= \frac{1 \cdot ( e ^{t} - 1 )}{e ^{2 t}}

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

= \frac{e ^{t} - 1}{e ^{2 t}}

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Frequently Asked Questions (FAQ)

What is e^{-2t}(e^t-1) ?
The solution to e^{-2t}(e^t-1) is (e^t-1)/(e^{2t)}