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Popular >

simplify e^te^{2t}e^{4t}

Solution

simplify

e^{t} \cdot e^{2 t} \cdot e^{4 t}

Solution

e^{7 t}

Solution steps

e^{t} e^{2 t} e^{4 t}

Apply exponent rule:

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

e^{t} e^{2 t} e^{4 t} = e^{t + 2 t + 4 t}

= e^{t + 2 t + 4 t}

Add similar elements:

t + 2 t + 4 t = 7 t

= e^{7 t}

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e^{- 100} \cdot 10 0^{95}

Frequently Asked Questions (FAQ)

What is e^t*e^{2t}*e^{4t} ?
The solution to e^t*e^{2t}*e^{4t} is e^{7t}