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Popular >

simplify e^{5t}*e^{4t}

Solution

simplify

e^{5 t} \cdot e^{4 t}

Solution

e^{9 t}

Solution steps

e^{5 t} e^{4 t}

Apply exponent rule:

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

e^{5 t} e^{4 t} = e^{5 t + 4 t}

= e^{5 t + 4 t}

Add similar elements:

5 t + 4 t = 9 t

= e^{9 t}

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Frequently Asked Questions (FAQ)

What is e^{5t}*e^{4t} ?
The solution to e^{5t}*e^{4t} is e^{9t}