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}) \cdot 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

2^{x} ln^{2} (2) \cdot 2

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

e^{- 2 a r c t a n (y)}

- 984 e^{- 123 (2)}