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Popular >

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

Solution

simplify

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

Solution

3 e^{5 t}

Solution steps

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

Apply exponent rule:

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

e^{2 t} e^{3 t} = e^{2 t + 3 t}

= 3 e^{2 t + 3 t}

Add similar elements:

2 t + 3 t = 5 t

= 3 e^{5 t}

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Frequently Asked Questions (FAQ)

What is e^{2t}*3e^{3t} ?
The solution to e^{2t}*3e^{3t} is 3e^{5t}