(3/5)^15*(-5/3)^14怎样简算?这样的题型怎样巧解?

问题描述:

(3/5)^15*(-5/3)^14怎样简算?
这样的题型怎样巧解?

(3/5)^15*(-5/3)^14=[(3/5)*(-5/3)]^14*(3/5)=1*(3/5)=3/5

(3/5)^15*(-5/3)^14
=(3/5)^15*(5/3)^14
=3/5×(3/5×5/3)^14
=3/5

(3/5)^15*(-5/3)^14
=(3/5)*(3/5)^14*(-5/3)^14
=(3/5)*[3/5*(-5/3)]^14
=3/5*(-1)^14
=3/5*1
=3/5