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Popular >

simplify 1/2 e^x*e^{-x}

Solution

simplify

\frac{1}{2} e^{x} \cdot e^{- x}

Solution

\frac{1}{2}

+1

Decimal Notation

0.5

Solution steps

\frac{1}{2} e^{x} e^{- x}

Apply exponent rule:

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

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

= \frac{1}{2} e^{x - x}

Add similar elements:

x - x = 0

= \frac{1}{2} e^{0}

Apply rule

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

e^{0} = 1

= 1 \cdot \frac{1}{2}

Multiply:

\frac{1}{2} \cdot 1 = \frac{1}{2}

= \frac{1}{2}

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Frequently Asked Questions (FAQ)

What is 1/2 e^x*e^{-x} ?
The solution to 1/2 e^x*e^{-x} is 1/2