问题
填空题
若256x=25-211,则x=______;若am=3,an=5,则am-n=______,a3m-2n=______.
答案
∵256x=(28)x=28x,25•211=25+11=216,
∴8x=16,
解得x=2;
∵am=3,an=5,
∴am-n=am÷an=
,3 5
a3m-2n=a3m÷a2n=(am)3÷(an)2=33÷52=
.27 25
故答案为:2;
;3 5
.27 25