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Popular >

simplify e^{4t}*e^{12t}

Solution

simplify

e^{4 t} \cdot e^{12 t}

Solution

e^{16 t}

Solution steps

e^{4 t} e^{12 t}

Apply exponent rule:

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

e^{4 t} e^{12 t} = e^{4 t + 12 t}

= e^{4 t + 12 t}

Add similar elements:

4 t + 12 t = 16 t

= e^{16 t}

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Frequently Asked Questions (FAQ)

What is e^{4t}*e^{12t} ?
The solution to e^{4t}*e^{12t} is e^{16t}