Final answer:
The product of (5/y) multiplied by (3/y³) is found by multiplying the numerators together and the denominators using the exponent rule, resulting in 15/y⁴.
Step-by-step explanation:
The question involves multipliying rational expressions with exponents. We want to find the product of (5/y) multiplied by (3/y³). According to the rules for multiplying fractions, we multiply the numerators together and the denominators together:
(5/y) × (3/y³) = (5 × 3) / (y × y³).
Next, we use the rule for multiplying exponentiated quantities: when we multiply powers of the same base, we add the exponents. Since y has an implicit exponent of 1, we have y¹ × y³ = y^(1+3) = y⁴.
Therefore, the product is 15/y⁴.