Compute $(\sqrt 3)^2\cdot (\sqrt 4)^3\cdot (\sqrt 5)^4$.

\frac{x^{\frac{5}{2}}\cdot \:6y^2\sqrt[3]{y^4}}{12x^{\frac{1}{2}}\sqrt[4]{x^3}}=\frac{x^{\frac{5}{4}}y^{\frac{10}{3}}}{2}

I wrote it properly below :)

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a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.