What is the simplified form of 7x^3 5x^2 x 6 8x^3 x^2 3?

To simplify the expression 7x3 × 5x2 × 6 × 8x3 × x2 × 3, we first need to multiply the coefficients and then add the exponents of the like terms.

First, let’s multiply the coefficients:

  • 7 × 5 = 35
  • 35 × 6 = 210
  • 210 × 8 = 1680
  • 1680 × 3 = 5040

Next, we can add the exponents of the like terms:

  • From x3 and x3, we have: 3 + 3 = 6
  • From x2 and x2, we have: 2 + 2 = 4

Adding all these together, we get:

  • 6 from the first group of x terms
  • 4 from the second group of x terms

This gives us a final exponent of x6 + 4 = x10.

Putting everything together, the simplified form of the expression is:

5040x10.

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