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Popular >

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

Solution

simplify

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

Solution

- e^{- x - y}

Solution steps

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

Apply exponent rule:

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

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

Remove parentheses:

(- a) = - a

= - \frac{1}{e ^{x}} e^{- y}

Multiply fractions:

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

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

Multiply:

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

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

Apply exponent rule:

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

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

= - e^{- x - y}

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20 \cdot 6.94 \cdot 1 0^{- 3}

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6.34196 \cdot 1 0^{- 10} \cdot 46

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

Frequently Asked Questions (FAQ)

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