At the north campus of a performing arts school, 40% of the students are music majors. At the south campus, 80% of the students are music majors. The campuses are merged into one east campus. If 50% of the 1200 students at the east campus are music majors, how many students did each of the north and south campuses have before the merger?

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the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

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