What is (2e^{2x})*(xe^{2x}) ?

The solution to (2e^{2x})*(xe^{2x}) is 2e^{4x}x

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simplify (2e^{2x})*(xe^{2x})

simplify

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

2 e^{4 x} x

Solution steps

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

Add similar elements:

2 x + 2 x = 4 x

= 2 x e^{4 x}

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

1.6 \cdot 1 0^{- 19} \cdot 40

e^{- 18 x} e^{- 6}

(3^{\circ})^{- 4} 49

41.23 x 1 0^{- 3}