[(24)^(1/4)]x[(108)^(1/2)]除以 36^(3/8)

问题描述:

[(24)^(1/4)]x[(108)^(1/2)]除以 36^(3/8)

[(2^3*3)^(1/4)]*[(2^2*3^3)^(1/2)]除以[3^2*2^2]^(3/8)然后化简得到[2^(7/4)*3^(7/4)]除以2^(3/4)*3^(3/4)然后得到2*3得到6。。

[(24)^(1/4)]x[(108)^(1/2)]÷ 36^(3/8)
=6^(1/4)x4^(1/4)x3^(1/2)x36^(1/2)/6^(3/4)
=6^(1/4)x√2x√3x6/6^(1/4)x√6
=6