if 27,783=3^x*7^y what is xy a.3 b.4 c.9 d.12 e.21  

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This problem is more like a puzzle then solving an equation. If you know that a number (27783) is made up of factors of 3 and 7, then simply start dividing the number by 3 and 7 and see how many times you can divide into it evenly without any remainder.Start with 3:  3 divides evenly into 27783 exactly 4 times:This equals 343 and it can no longer be divided evenly by 3, so now start dividing by 7 and you will see it divides evenly 3 times.  So the final solution looks like this:So, now you can see that xy is simply 12 or answer dThese are fun