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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

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

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

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Frequently Asked Questions (FAQ)

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