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Popular >

simplify e^{-2y}(4e^y+c)

Solution

simplify

e^{- 2 y} (4 e^{y} + c)

Solution

\frac{c + 4 e ^{y}}{e ^{2 y}}

Solution steps

e^{- 2 y} (4 e^{y} + c)

Apply exponent rule:

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

= \frac{1}{e ^{2 y}} (c + 4 e^{y})

Multiply fractions:

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

= \frac{1 \cdot ( 4 e ^{y} + c )}{e ^{2 y}}

1 \cdot (4 e^{y} + c) = 4 e^{y} + c

= \frac{4 e ^{y} + c}{e ^{2 y}}

Popular Examples

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1.06 \cdot 1 0^{- 10} m

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1.2982 \cdot 1 0^{- 22}

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(5 x 1 0^{- 11}) (8.4 x 1 0^{7})

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\frac{3 ^{3}}{e ^{3}}

Frequently Asked Questions (FAQ)

What is e^{-2y}(4e^y+c) ?
The solution to e^{-2y}(4e^y+c) is (c+4e^y)/(e^{2y)}