What is 2e^{3x}*6e^{3x} ?

The solution to 2e^{3x}*6e^{3x} is 12e^{6x}

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simplify 2e^{3x}*6e^{3x}

simplify

2 e^{3 x} \cdot 6 e^{3 x}

12 e^{6 x}

Solution steps

2 e^{3 x} \cdot 6 e^{3 x}

Apply exponent rule:

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

e^{3 x} e^{3 x} = e^{3 x + 3 x}

= 2 \cdot 6 e^{3 x + 3 x}

Add similar elements:

3 x + 3 x = 6 x

= 2 \cdot 6 e^{6 x}

Multiply the numbers:

2 \cdot 6 = 12

= 12 e^{6 x}

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