(9/4)^-1/2+2(√2-1)^lg1+3^-1-(0.0625)^-0.75

来源:百度知道 编辑:UC知道 时间:2024/06/25 03:06:12
(9/4)^-1/2 + 2(√2-1)^lg1 + 3^-1 -(0.0625)^-0.75

要有过程.
答案是11...

(9/4)^(-1/2)=2/3

2(√2-1)^lg1=2(√2-1)^0=2*1=2

3^(-1)=1/3

(0.0625)^(-0.75)=16^0.75=(2^4)^0.75=2^3=8

所以(9/4)^-1/2 + 2(√2-1)^lg1 + 3^-1 -(0.0625)^-0.75
=2/3+2+1/3-8
=-5

如果答案是11,那么最后应该是 +(0.0625)^-0.75 而不是 -(0.0625)^-0.75

(9/4)^-1/2 + 2(√2-1)^lg1 + 3^-1 -(0.0625)^-0.75
=1/√(9/4)+ 2(√2-1)^0+1/3-1/(1/16)^3/4
=2/3+2*1+1/3-16^3/4
=3-(2^4)^3/4
=3-2^3
=3-8
=-5