Final answer:
To simplify 7x²(6x), you multiply the constants to get 42 and add the exponents of x to get x³, resulting in 42x³.
Step-by-step explanation:
To simplify 7x²(6x), you first multiply the constant outside the parentheses (7) by the constant inside the parentheses (6), resulting in 42. Next, when multiplying variables with the same base, you add their exponents according to the power rule. Since x² is x raised to the second power and x is x to the first power, adding the exponents gives us x³ (2+1=3). Therefore, the simplified form of 7x²(6x) is 42x³.