Final answer:
The product of (4y)/5 multiplied by 3/y^3, assuming y is greater than 0, is 12/(5y^2). This result is obtained by multiplying the numerators and denominators, then simplifying by canceling out common factors.
Step-by-step explanation:
To find the product of (4y)/5 × 3/y^3, assuming y > 0, we need to multiply the two fractions together. We begin by multiplying the numerators and the denominators: (4y × 3)/(5 × y^3). This simplifies to 12y/(5y^3).
Next, we reduce the fraction by canceling out common factors in the numerator and denominator. Since there is a y in both the numerator and the denominator, we can divide both by y, leading to: 12/(5y^2) is the simplified product of the given expression.
We should note that this simplification is valid because we were given that y > 0, which rules out division by zero. To find the product of (4y)/5 * 3/y^3, we can multiply the numerators and denominators separately. The final simplified form of the product is 12/5y^2.