To find the product of the terms 4y, 32y², 3y, and 5, we will multiply them together. Here’s how to do it step by step:
- First, we multiply the coefficients (the numbers in front of the variables): 4, 32, 3, and 5.
- Calculating this gives us: 4 × 32 = 128, then 128 × 3 = 384, and finally 384 × 5 = 1920.
- Next, we look at the variables. We have y from 4y, y² from 32y², and y from 3y. So we combine the y’s:
- When you multiply variables with the same base, you add the exponents. Therefore, y (which is y¹) + y² + y (which is also y¹) gives us y^(1+2+1) = y^4.
Putting it all together, the final product is:
1920y⁴
This means that the product of 4y, 32y², 3y, and 5 is 1920y⁴.