计算下列各式①4a^2/3b^-1/3÷(-2/3a^-1/3b^-1/3)②(-2x^1/4y^-1/3)(3x^-1/2y^2/3)(-4x^1/4y^2/3)要有详细步骤
问题描述:
计算下列各式①4a^2/3b^-1/3÷(-2/3a^-1/3b^-1/3)②(-2x^1/4y^-1/3)(3x^-1/2y^2/3)(-4x^1/4y^2/3)
要有详细步骤
答
①4a^(2/3) b^(-1/3) ÷[-2/3a^(-1/3)b^(-1/3)]
=-4a^(2/3) b^(-1/3) ×[(3/2)a^(1/3)b^(1/3)]
=-6a
②【-2x^(1/4) y^(-1/3)][3x^(-1/2)y^(2/3)][-4x^(1/4)y^2/3)]
=24x^(1/4 -1/2 +1/4) y^(-1/3+2/3 +2/3)
=24y