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Popular >

simplify e^{2t}*e^{5t}

Solution

simplify

e^{2 t} \cdot e^{5 t}

Solution

e^{7 t}

Solution steps

e^{2 t} e^{5 t}

Apply exponent rule:

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

e^{2 t} e^{5 t} = e^{2 t + 5 t}

= e^{2 t + 5 t}

Add similar elements:

2 t + 5 t = 7 t

= e^{7 t}

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Frequently Asked Questions (FAQ)

What is e^{2t}*e^{5t} ?
The solution to e^{2t}*e^{5t} is e^{7t}