what is a 4a^6b^5c^4 • - 7b^7 c^6
To simplify the expression 4a^6b^5c^4 • - 7b^7c^6, we can use the product rule for exponents.
The product rule states that when you multiply two terms with the same base, you add their exponents. Additionally, when multiplying variables, you add their exponents if they have the same base.
In this case, we have:
4a^6b^5c^4 • -7b^7c^6
To simplify the expression, we combine the like terms:
4a^6 • -7b^5b^7 • c^4c^6
Using the product rule, we add the exponents of like bases:
4 • -7 • a^6 • b^(5+7) • c^(4+6)
Simplifying further, we have:
-28a^6 • b^12 • c^10
Therefore, the simplified expression is -28a^6b^12c^10.