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Popular >

simplify (e^x+1)^3*e^{-x}

Solution

simplify

(e^{x} + 1)^{3} \cdot e^{- x}

Solution

\frac{( e ^{x} + 1 ) ^{3}}{e ^{x}}

Solution steps

(e^{x} + 1)^{3} e^{- x}

Apply exponent rule:

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

= \frac{1}{e ^{x}} (e^{x} + 1)^{3}

Multiply fractions:

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

= \frac{1 \cdot ( e ^{x} + 1 ) ^{3}}{e ^{x}}

Multiply:

1 \cdot (e^{x} + 1)^{3} = (e^{x} + 1)^{3}

= \frac{( e ^{x} + 1 ) ^{3}}{e ^{x}}

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Frequently Asked Questions (FAQ)

What is (e^x+1)^3*e^{-x} ?
The solution to (e^x+1)^3*e^{-x} is ((e^x+1)^3)/(e^x)