Choose the correct simplification of the expression (x2y)2.
x4y3, x6y6, x4y2, xy4
Solution:
The given expression is (x2y)2
Using the law of exponents, we know that (am)n = a m × n
(x2y)2 could be simplified as
= (x2)2(y)2
= x4y2
Another example could be: Choose the correct simplification of the expression (x2y2z)2
The expression (x2y2z)2 could be simplified as:
= (x2)2(y2)2(z)2
= x4y4z2
Choose the correct simplification of the expression (x2y)2.
Summary:
The correct simplification of the expression (x2y)2 is x4y2.
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