what is 4a^6b^5 c^4 divided by -7b^7 c^6

To divide the terms, you need to divide the coefficients and then divide the variables separately.

Given expression: 4a^6b^5c^4 / -7b^7c^6

First, divide the coefficients:
4 / -7 = -4/7

Now, divide the variables:
a^6 / a^0 = a^6
b^5 / b^7 = 1/b^2 (When dividing, subtract the exponents)
c^4 / c^6 = 1/c^2

Putting it all together, the result is:
-4/7 * a^6 * b^-2 * c^-2
which can also be simplified as:
-4a^6 / 7b^2c^2