16a^-2b^7c^0/8a^2b^-5

(2b^12) / (a^3)

The c is no longer in the equation cause anything to the zero power is one.

Simplify the following:

(16 b^7 c^0 a^2) / (8 a^2 b^5)

(16 b^7 c^0 a^2) / (a^2 b^5*8) = a^2/a^2 * (16 b^7 c^0) / (b^5*8) = (16 b^7 c^0) / (b^5*8):

(16 b^7 c^0) / (8 b^5)

16/8 = (8*2) / 8 = 2:

(2 b^7 c^0) / b^5

Combine powers. (2 b^7 c^0) / b^5 = 2 b^ (7 - 5) c^0:

2 b^ (7 - 5) c^0

7 - 5 = 2:

2 b^2 c^0

c^0 = 1:

2*1 b^2

Write 2 b^2*1 as 2 b^2:

Answer: 2 b^2