To find the product of the numbers and variables, we multiply them together.
First, let’s write down the expression we need to calculate:
4x * 32x² * 7x * 1
We can multiply the coefficients (the numbers in front) together and also combine the variables:
1. Multiply the coefficients: 4 * 32 * 7 * 1
- 4 * 32 = 128
- 128 * 7 = 896
So, the product of the coefficients is 896.
2. Now, let’s multiply the variables. Remember that when we multiply variables, we add the exponents:
- x (from 4x) + 2 (from 32x²) + x (from 7x) = x1 + x2 + x1 = x(1+2+1) = x4
Putting it all together, the final product is:
896x4
Therefore, the product of 4x, 32x², 7x, and 1 is 896x4.