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.