(1/3)^2011x(4/3)^2010x(-9/4)^2011计算

问题描述:

(1/3)^2011x(4/3)^2010x(-9/4)^2011计算

(1/3)^2011x(4/3)^2010x(-9/4)^2011
=1/3^2011×4^2010/3^2010×﹙-9^2011/4^2011﹚
=-1/3^2011×1/3^2010×3^2011×3^2011/4
=-3/4

(1/3)^2011x(4/3)^2010x(-9/4)^2011
=(1/3)x(1/3)^2010x(4/3)^2010x(-9/4)^2010x(-9/4)
=(1/3)x[1/3x4/3x(-9/4)]^2010x(-9/4)
=(1/3)x(-9/4)x[-1]^2010
=-3/4x1
=-3/4