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Popular >

simplify 2e^{2t}(e^t)

Solution

simplify

2 e^{2 t} (e^{t})

Solution

2 e^{3 t}

Solution steps

2 e^{2 t} (e^{t})

Apply exponent rule:

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

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

= 2 e^{2 t + t}

Add similar elements:

2 t + t = 3 t

= 2 e^{3 t}

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Frequently Asked Questions (FAQ)

What is 2e^{2t}(e^t) ?
The solution to 2e^{2t}(e^t) is 2e^{3t}