解:a的2/3次方*a的3/4次方除以a的5/6次方
=a^(2/3+3/4-5/6)
=a的7/12次方
(a的1/3次方*a的3/4次方)的12次方=
=a^[(1/3+3/4)*12]
=a的13次方
(x的9/5次方*y的-6/5次方)的-1/3次方*(xy)的2/5次方
=x^[9/5*(-1/3)]*y^[-6/5*(-1/3)]*(xy)的2/5次方
=x^(-1/5)y^(4/5)
根号下y/x*根号下x/y
=1
8a2次方/b开3次方*根号下b方/a
=8*a^2*b^(-1/3)*a^(-1/2)*b^(1/2)
=8a^(2-1/2)b^(1/2-1/3)
=8a^(-3/2)b^(1/6)