Final answer:
The polynomial 10m⁴n³+ 8m²n + 3m⁴n³ 2m²n⁶ 6m²n⁶ becomes 13m⁴n³ + 8m²n + 8m²n⁶ after fully simplifying, making it a monomial with a degree of 6.
Step-by-step explanation:
A polynomial is an expression consisting of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication. In this case, the polynomial is 10m⁴n³+ 8m²n + 3m⁴n³ 2m²n⁶ 6m²n⁶. To simplify this polynomial, we combine the like terms by adding the coefficients of the terms that have the same variables and exponents. After combining the like terms, we get the simplified polynomial.
10m⁴n³ + 3m⁴n³ + 8m²n + 2m²n⁶ + 6m²n⁶ = 13m⁴n³ + 8m²n + 8m²n⁶
Therefore, the statement that is true about the polynomial after it has been fully simplified is: It is a monomial with a degree of 6.