2的三分之四次方除以3的三分之二次方*6的三分之二次方 要过程！
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2^(3/4)/3^(2/3)*6^(2/3)
=2^(3/4)*3^(-2/3)*[2*3]^(2/3)
=2^(3/4)*3^(-2/3)*2^(2/3)*3^(2/3)
=2^(2/3)*2^(3/4)*3^(2/3)*3^(-2/3)
=2^(2/3+3/4)*3^(2/3-2/3)
=2^(17/12)*3^0
=2^(17/12)
=2^(3/4)*3^(-2/3)*[2*3]^(2/3)
=2^(3/4)*3^(-2/3)*2^(2/3)*3^(2/3)
=2^(2/3)*2^(3/4)*3^(2/3)*3^(-2/3)
=2^(2/3+3/4)*3^(2/3-2/3)
=2^(17/12)*3^0
=2^(17/12)
追问
可为什么用计算器算出来等于4
追答
2^(4/3)/3^(2/3)*6^(2/3)
＝=2^(4/3)*3^(-2/3)*[2*3]^(2/3)
＝2^(4/3)*3^(-2/3)*2^(2/3)*3^(2/3)
＝2^(2/3+4/3)*3^(2/3-2/3)
＝2^2*3^0
＝2^2
＝4
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