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Popular >

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

Solution

simplify

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

Solution

\frac{e ^{t} + 1}{e ^{t}}

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

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

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

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Frequently Asked Questions (FAQ)

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