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Popular >

simplify 2e^{3t}(e^{2t})

Solution

simplify

2 e^{3 t} (e^{2 t})

Solution

2 e^{5 t}

Solution steps

2 e^{3 t} (e^{2 t})

Apply exponent rule:

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

e^{3 t} e^{2 t} = e^{3 t + 2 t}

= 2 e^{3 t + 2 t}

Add similar elements:

3 t + 2 t = 5 t

= 2 e^{5 t}

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Frequently Asked Questions (FAQ)

What is 2e^{3t}(e^{2t}) ?
The solution to 2e^{3t}(e^{2t}) is 2e^{5t}