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Popular >

simplify e^{-x}*2e^x

Solution

simplify

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

Solution

2

Solution steps

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