(-1/3)^-2-(2/3)^2011×(-3/2)^2012=?

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/28 13:38:24

(-1/3)^-2-(2/3)^2011×(-3/2)^2012=?
(-1/3)^-2-(2/3)^2011×(-3/2)^2012=?

(-1/3)^-2-(2/3)^2011×(-3/2)^2012=?
(-1/3)^-2-(2/3)^2011×(-3/2)^2012
= (-3)^2-[(2/3)×(-3/2)]^2011×(-3/2)
=9-(-1)^2011×(-3/2)
=9-3/2
=15/2

(-1/3)^-2 =9
(2/3)^2011×(-3/2)^2012=(2/3)×(-3/2)^2011×(-3/2)=3/2
所以
(-1/3)^-2-(2/3)^2011×(-3/2)^2012=7.5