简便运算:(0.25)^9乘(2^9)^2乘(-12分之5)^2005乘(-2又5分之2)^2004

问题描述:

简便运算:(0.25)^9乘(2^9)^2乘(-12分之5)^2005乘(-2又5分之2)^2004

(0.25)^9 X (2^9)" X (- 5/12)^2005 X (- 2 - 2/5)^2004
= (1/4)^9 X (2")^9 X (- 5/12) X (5/12)^2004 X (12/5)^2004
= [ (1/4) X 4 ]^9 X (- 5/12) X ( 5/12 X 12/5 )^2004
= 1 X (- 5/12) X 1
= - 5/12