What is 4a^6b^5c^4 x -7b^7c^6??

The product of 4a^6b^5c^4 and -7b^7c^6 is -28a^6b^12c^10.

To find the product, you can multiply the coefficients (4 and -7) together, and then multiply the variables with the same bases by adding their exponents.

So, 4 x -7 = -28
a^6 x a^0 = a^6
b^5 x b^7 = b^12
c^4 x c^6 = c^10

Therefore, the final expression is -28a^6b^12c^10.