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Popular >

simplify 2e^xe^{-x}

Solution

simplify

2 \cdot e^{x} \cdot e^{- x}

Solution

2

Solution steps

2 e^{x} e^{- x}

Apply exponent rule:

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

e^{x} e^{- x} = e^{x - x}

= 2 e^{x - x}

Add similar elements:

x - x = 0

= 2 e^{0}

Apply rule

a^{0} = 1, a \neq = 0

e^{0} = 1

= 2 \cdot 1

Multiply the numbers:

2 \cdot 1 = 2

= 2

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Frequently Asked Questions (FAQ)

What is 2*e^x*e^{-x} ?
The solution to 2*e^x*e^{-x} is 2