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}) (6 e^{3 t})

12 e^{6 t}

Solution steps

(2 e^{3 t}) (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}

(- 6) (- 486)

\frac{e ^{2 x}}{e ^{2}}

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