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Popular >

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

Solution

simplify

e^{- x} \cdot (e^{x + y})

Solution

e^{y}

Solution steps

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

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

e^{- x} e^{x + y} = e^{- x + x + y}

= e^{- x + x + y}

Add similar elements:

- x + x = 0

= e^{y}

Popular Examples

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\frac{1 ^{n}}{2 ^{n}}

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12 \cdot e^{- 2}

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, (5^{- 12})^{\frac{1}{3}}

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- 0.5 (7 + 2)^{- \frac{3}{2}}

simplify e^{-0.198679}simplify

e^{- 0.198679}

Frequently Asked Questions (FAQ)

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