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Evaluate the expression (2^2x^2/xy^3)^2 for x=4 and y=2.
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Interpret the expression as ((2^2 x^2) / (x y^3))^2.
1. Simplify inside: (2^2 x^2)/(x y^3) = (4 x^2)/(x y^3) = 4x / y^3.
2. Square: (4x / y^3)^2 = 16 x^2 / y^6.
3. Substitute x = 4, y = 2: 16·4^2 / 2^6 = 16·16 / 64 = 256/64 = 4.
Answer: 4.
1. Simplify inside: (2^2 x^2)/(x y^3) = (4 x^2)/(x y^3) = 4x / y^3.
2. Square: (4x / y^3)^2 = 16 x^2 / y^6.
3. Substitute x = 4, y = 2: 16·4^2 / 2^6 = 16·16 / 64 = 256/64 = 4.
Answer: 4.
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