To multiply these two expressions, we need to multiply the coefficients (numbers) and combine the variables with the same base raised to their respective exponents.
The coefficient (-7) and the number (4) multiply to give -28.
The variable "a" has exponents of 6 and 0, so we can add the exponents together: 6 + 0 = 6. Therefore, the variable "a" has an exponent of 6 in the final expression.
The variable "b" has exponents of 5 and 7, so we can subtract the smaller exponent from the larger: 7 - 5 = 2. Therefore, the variable "b" has an exponent of 2 in the final expression.
The variable "c" has exponents of 4 and 6, so we can subtract the smaller exponent from the larger: 6 - 4 = 2. Therefore, the variable "c" has an exponent of 2 in the final expression.
Combining all these results, the final expression is: -28a⁶b²c².