one way to do this is to fully expand the exponents:
(-8)^3=-8 times -8 times -8=-512
2^3=8
-512/8=-64
the other way that you are supposed to do it is
factor
-8=-1 times 2^3
(-8)^3=-1 times (2^3)^3=-1 times 2^9
when dividing exponents, subtract
\(\frac{x^n}{x^m}=x^{n-m}\)
put the -1 to the side
(-1/1) times (2^9)/(2^3)=(-1/1) times 2^(9-3)=(-1/1) times 2^6=-1 times 64=-64
