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Popular >

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

Solution

simplify

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

Solution

- \frac{2}{e ^{2 y}}

Solution steps

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

Apply exponent rule:

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

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

Remove parentheses:

(- a) = - a

= - 2 \cdot \frac{1}{e ^{y}} e^{- y}

Multiply fractions:

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

= - \frac{1 \cdot 2 e ^{- y}}{e ^{y}}

Multiply the numbers:

1 \cdot 2 = 2

= - \frac{2 e ^{- y}}{e ^{y}}

Apply exponent rule:

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

\frac{e ^{- y}}{e ^{y}} = e^{- y - y} = e^{- 2 y}

= - \frac{2}{e ^{2 y}}

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Frequently Asked Questions (FAQ)

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