bot, what is a 4a^6b^5c^4 times -7b^7 c^6
To simplify the expression (4a^6b^5c^4) multiplied by (-7b^7c^6), you can multiply the coefficients (numbers) and combine the variables with the same base (a, b, and c).
The coefficients: 4 multiplied by -7 equals -28.
The variables:
For a, there is one factor of a^6.
For b, there are five factors of b in the first term and seven factors of b in the second term, so a total of 5 + 7 = 12 factors of b.
For c, there are four factors of c in the first term and six factors of c in the second term, so a total of 4 + 6 = 10 factors of c.
Therefore, the simplified expression is -28a^6b^12c^10.