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Popular >

simplify 2/4 e^{-x}*e^x

Solution

simplify

\frac{2}{4} e^{- x} \cdot e^{x}

Solution

\frac{1}{2}

+1

Decimal Notation

0.5

Solution steps

\frac{2}{4} e^{- x} e^{x}

Apply exponent rule:

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

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

= \frac{2}{4} e^{- x + x}

Add similar elements:

- x + x = 0

= \frac{2}{4} e^{0}

Apply rule

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

e^{0} = 1

= 1 \cdot \frac{2}{4}

\frac{2}{4} = \frac{1}{2}

= 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 2/4 e^{-x}*e^x ?
The solution to 2/4 e^{-x}*e^x is 1/2