Which expression is equivalent to open paren x raised to the 1 fourth power y to the 16th power close paren raised to the 1 half power ?

Apply the power of a product rule and multiply each exponent inside the parentheses by 1/2: (x^(1/4)y^16)^(1/2) = x^(1/8)y^8. This matches choice D, x raised to the 1/8 power times y raised to the 8th power.

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