Choose the correct simplification of the expression (5xy5)2(y3)4.
25x2y22, 10x2y22, 25x3y14, 10x3y14

Solution:

The expression (5xy5)2(y3)4  can be simplified as follows using the rules of exponents.

(i) (x m)n = x m×n = xmn

(ii) xm× xn = x m+n 

= (5)2(x)2(y5)2(y3)4

= 25x2y10y12

= 25x2y22

Therefore, the correct simplification of the expression is 25x2y22.

Choose the correct simplification of the expression (5xy5)2(y3)4.

Summary:

The correct simplification of the expression (5xy5)2(y3)4 is 25x2y22.

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