Using the properties of exponents, the simplified form of the expression is (y^6 x^-2) OR (y⁶ x⁻²)
From the question, we are to evaluate the given expression
The given expression is
(y^3/2 x^-1/2)^4
Using the properties of exponents, we can simplify the expression as shown below
(y^3/2 x^-1/2)^4
[y^(3/2×4) x^(-1/2×4)]
[y^(12/2) x^(-4/2)]
(y^6 x^-2)
OR
(y⁶ x⁻²)
Hence, the simplified form of the expression is (y^6 x^-2) OR (y⁶ x⁻²)
Learn more on Evaluating an expression here: https://brainly.com/question/1403904
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