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Popular >

simplify (3e^t)e^{2t}

Solution

simplify

(3 e^{t}) e^{2 t}

Solution

3 e^{3 t}

Solution steps

(3 e^{t}) e^{2 t}

Apply exponent rule:

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

e^{t} e^{2 t} = e^{t + 2 t}

= 3 e^{t + 2 t}

Add similar elements:

t + 2 t = 3 t

= 3 e^{3 t}

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Frequently Asked Questions (FAQ)

What is (3e^t)e^{2t} ?
The solution to (3e^t)e^{2t} is 3e^{3t}