What is 2e^{2x}(e^{-2x}) ?

The solution to 2e^{2x}(e^{-2x}) is 2

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simplify 2e^{2x}(e^{-2x})

simplify

2 e^{2 x} (e^{- 2 x})

2

Solution steps

2 e^{2 x} (e^{- 2 x})

Apply exponent rule:

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

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

= 2 e^{2 x - 2 x}

Add similar elements:

2 x - 2 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

10000 e^{- 0.02 (50)}

6 6^{2}

\frac{\frac{1}{10}}{\frac{1}{2}}

e^{6}