Choose the correct simplification of the expression (6x2y)2(y2)3.
12x4y8, 36x4y5, 36x4y8, 12x2y7

Solution:

The expression can be simplified as follows using the rules of exponents.

(i) (x m)n = x m×n = xmn

(ii) xm× xn = x m+n 

(6x2y)2(y2)3

= (6)2(x2)2(y)2(y)6

= 36x4y2 + 6

= 36x4y8

Another expression that can be simplified is as follows: (7x3y2)2(xy2)3

= (7)2(x3)2(y2)2(x)3(y2)2

= (49)(x)6(y)4x3(y)4

= 49x6 + 3y4 + 4

= 49x9y8

Choose the correct simplification of the expression (6x2y)2(y2)3.

Summary:

The correct simplification of the expression (6x2y)2(y2)3 is 36x4y8

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