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

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

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

simplify

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

12 e^{6 t}

Solution steps

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

Apply exponent rule:

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

e^{3 t} e^{3 t} = e^{3 t + 3 t}

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

Add similar elements:

3 t + 3 t = 6 t

= 2 \cdot 6 e^{6 t}

Multiply the numbers:

2 \cdot 6 = 12

= 12 e^{6 t}

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2 4 - 15