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Popular >

simplify e^t*e^{3t}

Solution

simplify

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

Solution

e^{4 t}

Solution steps

e^{t} e^{3 t}

Apply exponent rule:

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

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

= e^{t + 3 t}

Add similar elements:

t + 3 t = 4 t

= e^{4 t}

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Frequently Asked Questions (FAQ)

What is e^t*e^{3t} ?
The solution to e^t*e^{3t} is e^{4t}