What is 2e^x\times e^{-x} ?

The solution to 2e^x\times e^{-x} is 2

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simplify 2e^x\times e^{-x}

simplify

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

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

10 e^{- 0.5}

4 e^{- 4 t} (\frac{e ^{4 t} - 1}{4})

8.9737 \times e^{- 1.96 \times 0.4975}

e^{- 3 x} \times 3 e^{3 x}

\frac{1}{21} e^{21 x} e^{- 4 x}