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Popular >

simplify e^{3t}*15e^{5t}

Solution

simplify

e^{3 t} \cdot 15 e^{5 t}

Solution

15 e^{8 t}

Solution steps

e^{3 t} \cdot 15 e^{5 t}

Apply exponent rule:

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

e^{3 t} e^{5 t} = e^{3 t + 5 t}

= 15 e^{3 t + 5 t}

Add similar elements:

3 t + 5 t = 8 t

= 15 e^{8 t}

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Frequently Asked Questions (FAQ)

What is e^{3t}*15e^{5t} ?
The solution to e^{3t}*15e^{5t} is 15e^{8t}