化简:4x^1/4*(-根号3x^1/8*y^-1/6)÷(-6x^-1/2*y^-2/3)
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化简:4x^1/4*(-根号3x^1/8*y^-1/6)÷(-6x^-1/2*y^-2/3)
结果保留根式形式,
结果保留根式形式,
4x^(1/4)*[-√3x^(1/8)*y^(-1/6)]÷[-6x^(-1/2)*y^(-2/3)]
原式=4x^(1/4)*[-√3x^(1/8)*y^(-1/6)]*[-1/6x^(1/2)*y^(2/3)]
=4*(-√3)*(-1/6)*[x^(1/4)*x^(1/8)*x^(1/2)]*[y^(-1/6)*y^(2/3)]
=2√3/3*x^(1/4+1/8+1/2)*y^(-1/6+2/3)
=2√3/3*x^(7/8)*y^(1/2)
原式=4x^(1/4)*[-√3x^(1/8)*y^(-1/6)]*[-1/6x^(1/2)*y^(2/3)]
=4*(-√3)*(-1/6)*[x^(1/4)*x^(1/8)*x^(1/2)]*[y^(-1/6)*y^(2/3)]
=2√3/3*x^(1/4+1/8+1/2)*y^(-1/6+2/3)
=2√3/3*x^(7/8)*y^(1/2)
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