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Popular >

simplify 5e^t(e^t)

Solution

simplify

5 e^{t} (e^{t})

Solution

5 e^{2 t}

Solution steps

5 e^{t} (e^{t})

Apply exponent rule:

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

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

= 5 e^{t + t}

Add similar elements:

t + t = 2 t

= 5 e^{2 t}

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Frequently Asked Questions (FAQ)

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