Question

2分之1的2分之1次幂乘以2分之3的-2分之1次幂乘以4分之3的2分之1次幂等于几（结果表示为含幂的形式）

Answer 1

(1/2)^(1/2)×(3/2)^(-1/2)×(3/4)^(1/2)

＝(1/2)^(1/2)×(1/2)^(-1/2)×3^(-1/2)×3^(1/2)×(1/4)^(1/2)

＝(1/2)^(1/2-1/2)×3^(-1/2+1/2)×(1/4)^(1/2)

＝(1/2)^0×3^0×(1/4)^(1/2)

＝(1/4)^(1/2)

＝1/2