Final answer:
To multiply root(x, 4) * root(y ^ 3, 4), we can rewrite the expression using rational exponents with a common denominator x * y^(15/22); x^(2/12) * y^(9/12); x^(-6) * y^(3/4).
Step-by-step explanation:
To multiply root(x, 4) * root(y ^ 3, 4), we can rewrite the expression using rational exponents with a common denominator. The rational exponents for root(x, 4) and root(y^3, 4) are x * y^(15/22) and x^(2/12) * y^(9/12) respectively. So the final answer is x^(-6) * y^(3/4).