\(\frac{\left(4^6\cdot8^3\right)}{4^8}=\frac{\left(4^6\cdot4^6\right)}{4^8}=4^4\)
4^6=4^2^3=8^3
8^3.8^3=8^6
8^6=8^3^2=24^2
4^8=4^4^2=16^2
24^2/16^2=1,5^2
\(\frac{4^6.8^3}{4^8}=\frac{\left(2^2\right)^6.\left(2^3\right)^3}{\left(2^2\right)^8}=\frac{2^{12}.2^9}{2^{16}}=\frac{2^{21}}{2^{16}}=32\)