-1/2的1/3方乘3/2的负1/2方乘0.75的1/3方

题目

-1/2的1/3方乘3/2的负1/2方乘0.75的1/3方

答案

(-1/2)^(1/3)*(3/2)^(-1/2)*0.75^(1/3)
=((-1/2)*(3/4))^(1/3)/(3/2)^(1/2)
=(-3/8)^(1/3)/(6/4)^(1/2)
=(-3^(1/3)/2)/((6^(1/2)/2)
=-3^(1/3)/6^(1/2)