Simplify the expression:
(-8g^4h^6)^3

First we must start out by distributing the power among the certain variables and coefficients in the equation as so ((-8)^3(g)^(4*3)h^(6*3) 
Since the product of powers properties states that a power to the power is a power times a power, we apply it to the variables as well as the coefficient of -8.
The final answer should be -512g^12*h^18