a^m=2a^n=4=[a^(m)]^2=a^(2m) n=2ma^k=32=[a^(m)]^5=a^(5m) k=5ma^(m+n)=a^(3m)=(a^m)^3=2^3=8a^(3m+2n-k)=a^(3m+4m-5m)=a^(2m)=(a^m)^2=4