Final answer:
To multiply (3y⁵)(5y⁴), multiply the coefficients (3 and 5) to get 15, and add the exponents of 'y' (5 and 4) to get 9, which results in the product, 15y⁹.
Step-by-step explanation:
To multiply the given expression (3y⁵)(5y⁴), you need to multiply the coefficients (numbers in front of the variables) and add the exponents of the variables with the same base.
First, multiply the coefficients:
3 × 5 = 15
Then, add the exponents of the variable y:
5 (from y⁵) + 4 (from y⁴) = 9
Combining both steps, we get:
15y⁹
This is the result of the multiplication, following the rule of multiplying exponentiated quantities.