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Popular >

simplify (e^y+1)^2e^{-y}

Solution

simplify

(e^{y} + 1)^{2} e^{- y}

Solution

\frac{( e ^{y} + 1 ) ^{2}}{e ^{y}}

Solution steps

(e^{y} + 1)^{2} e^{- y}

Apply exponent rule:

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

= \frac{1}{e ^{y}} (e^{y} + 1)^{2}

Multiply fractions:

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

= \frac{1 \cdot ( e ^{y} + 1 ) ^{2}}{e ^{y}}

Multiply:

1 \cdot (e^{y} + 1)^{2} = (e^{y} + 1)^{2}

= \frac{( e ^{y} + 1 ) ^{2}}{e ^{y}}

Popular Examples

simplify ((e^x)/(e^{x-2)})^{-1/2}simplify

(\frac{e ^{x}}{e ^{x - 2}})^{- \frac{1}{2}}

simplify (11^{11})/(13^{11)}simplify

\frac{1 1 ^{11}}{1 3 ^{11}}

simplify (sqrt(3))/(sqrt(5z))simplify

\frac{3}{5 z}

simplify 5.669*10^{-8}*5800 simplify

5.669 \cdot 1 0^{- 8} \cdot 5800

simplify 0.35x10^{-3}simplify

0.35 x 1 0^{- 3}

Frequently Asked Questions (FAQ)

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