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

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

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

simplify

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

2

Solution steps

e^{- 2 x} (2 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

x^{\frac{1}{2}} \cdot y^{\frac{1}{2}}

t^{3} e^{- 4 t}

9 e^{- 2^{2}}

(l^{2} k^{2}) (l^{3} k)

e^{- 1} \cdot (- 1)