(-2/3)^2*(-2/3)^3/(3/2)^2怎么做 用同底数幂的除法

问题描述:

(-2/3)^2*(-2/3)^3/(3/2)^2怎么做 用同底数幂的除法

(-2/3)^2*(-2/3)^3/(3/2)^2
=(-2/3)^5/(2/3)^-2
=-(2/3)^5/(2/3)^-2
=-(2/3)^7
=-128/2187

(-2/3)^2 * (-2/3)^3 / (3/2)^2
= (2/3)^2 * [-(2/3)^3] / [(2/3)^(-2)]
= - (2/3)^2 * (2/3)^3 / [(2/3)^(-2)]
= - (2/3)^[2+3-(-2)]
= -(2/3)^7