几道数学题.同底幂数的除法.

题目

几道数学题.同底幂数的除法.
①16的2m次方÷4的2n次方÷4的m次方×4的3m-3n+1次方 化简.
②5的3m次方×125的m次方÷25的2m-1次方 化简.

答案

16的2m次方÷4的2n次方÷4的m次方×4的3m-3n+1次方
=4^(4m)/4^(2n+m)*4^(3m-3n+1)
=4^(4m-2n-m+3m-3n+1)
=4^(6m-5n+1)
5的3m次方×125的m次方÷25的2m-1次方
=5^(3m+3m-4m-2)
=5^(2m-2)