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Popular >

simplify ce^t*ce^t

Solution

simplify

c e^{t} \cdot c e^{t}

Solution

c^{2} e^{2 t}

Solution steps

c e^{t} c e^{t}

Apply exponent rule:

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

cc = c^{1 + 1}

= e^{t} c^{1 + 1} e^{t}

Add the numbers:

1 + 1 = 2

= e^{t} c^{2} e^{t}

Apply exponent rule:

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

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

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

Add similar elements:

t + t = 2 t

= c^{2} e^{2 t}

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Frequently Asked Questions (FAQ)

What is ce^t*ce^t ?
The solution to ce^t*ce^t is c^2e^{2t}