负指数幂的计算:(3x^-2)^-1 / (1/2 x)^-2 * (3y^-1/2x)^2

问题描述:

负指数幂的计算:(3x^-2)^-1 / (1/2 x)^-2 * (3y^-1/2x)^2
如题,3x^2/16y^2

原式=(3/x²)^-1/4x^-2 *(3/2xy)^2
=(x²/3)*(x²/4)*9/(4x²y²)
=3x²/16y²