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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

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

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

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Frequently Asked Questions (FAQ)

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