a) Numerator: (x2y)2·(xy)3·z2 = (x2y)·(x2y)·(xy)·(xy)·(xy)·z2 = [x2·x2·x·x·x]·[y·y·y·y·y]·z2 = x7·y5·z2
Denominator: (xy2)2·y·z = (xy2)·(xy2)·y·z = [x·x]·[y2·y2·y]·z = x2·y5·z
Combining the numerator and denominator: [x7·y5·z2] / [x2·y5·z] = x5·z
b) Numerator: (12)2·(63)·52 = (2·2·3)2·(23·32)·52 = (22·3)2·(23·32)·52 = 24·33·23·32·52 = 27·35·52
Denominator: (2·3·3)2·(3·5) = (2·32)2·(3·5) = 22·34·3·5 = 22·35·5
Combining the numerator and denominator: [27·35·52] / [22·35·5] = 25·5 = 160
You'll need to answer part c.
a) Numerator: (x2y)2·(xy)3·z2 = (x2y)·(x2y)·(xy)·(xy)·(xy)·z2 = [x2·x2·x·x·x]·[y·y·y·y·y]·z2 = x7·y5·z2
Denominator: (xy2)2·y·z = (xy2)·(xy2)·y·z = [x·x]·[y2·y2·y]·z = x2·y5·z
Combining the numerator and denominator: [x7·y5·z2] / [x2·y5·z] = x5·z
b) Numerator: (12)2·(63)·52 = (2·2·3)2·(23·32)·52 = (22·3)2·(23·32)·52 = 24·33·23·32·52 = 27·35·52
Denominator: (2·3·3)2·(3·5) = (2·32)2·(3·5) = 22·34·3·5 = 22·35·5
Combining the numerator and denominator: [27·35·52] / [22·35·5] = 25·5 = 160
You'll need to answer part c.