初一简便方法计算一题.(1又9分之7)^-101×(3/4)^-202÷(-1)^303

问题描述:

初一简便方法计算一题.
(1又9分之7)^-101×(3/4)^-202÷(-1)^303

原式=(9分之16)^(-101)×(3/4)^(-202)÷(-1)^303
=(16分之9)^101×(4/3)^202÷(-1)
=[(3/4)²]^101×(4/3)^202÷(-1)
=(3/4)^202×(4/3)^202÷(-1)
=(3/4×4/3)^202÷(-1)
=1÷(-1)
=-1