Final answer:
To rewrite the expression y^(1/3) ÷ y^(1/6) with rational exponents as a radical expression, divide the exponent of y^(1/3) by the exponent of y^(1/6) and simplify the resulting fractional exponent. The correct answer is None of the above.
Step-by-step explanation:
To rewrite the expression y1/3 ÷ y1/6 with rational exponents as a radical expression, we can extend the properties of integer exponents. The rule for dividing exponentials states that we need to divide the digit term of the numerator by the digit term of the denominator and subtract the exponents of the exponential terms. So, in this case, we divide y1/3 by y1/6 and subtract the exponents: y1/3 ÷ y1/6 = y1/3 - 1/6 = y1/6. Therefore, the expression with rational exponents as a radical expression is y1/6. So the correct answer is D. None of the above.