已知以a^m=2,a^n=4,a^k=32.(1)a^m+n= (2)求a^3m+2n-k的值

已知以a^m=2,a^n=4,a^k=32.(1)a^m+n= (2)求a^3m+2n-k的值
已知以a^m=2,a^n=4,a^k=32.(1)a^m+n= (2)求a^3m+2n-k的值

已知以a^m=2,a^n=4,a^k=32.(1)a^m+n= (2)求a^3m+2n-k的值
a^m=2
a^n=4=[a^(m)]^2=a^(2m) n=2m
a^k=32=[a^(m)]^5=a^(5m) k=5m
a^(m+n)=a^(3m)=(a^m)^3=2^3=8
a^(3m+2n-k)=a^(3m+4m-5m)=a^(2m)=(a^m)^2=4