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

The solution to 2e^{2x}\times e^{2x} is 2e^{4x}

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

simplify

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

2 e^{4 x}

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 = 4 x

= 2 e^{4 x}

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