What is the product of 5r, 4r², 6r, and 4?

To find the product of the terms 5r, 4r², 6r, and 4, we will multiply these expressions together step by step.

First, let’s group the numerical coefficients together and the variable parts together:

1. Numerical coefficients: 5, 4, 6, and 4.

2. Variables: r, r², and r.

Now we’ll multiply the numerical coefficients:

  • 5 * 4 = 20
  • 20 * 6 = 120
  • 120 * 4 = 480

Next, we’ll multiply the variable parts:

  • r * r² * r = r^(1 + 2 + 1) = r^4

Putting it all together, we combine the numerical result with the variable result. Thus, the product of 5r, 4r², 6r, and 4 is:

480r^4

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