51问答网 > {(27⼀8)^-(2⼀3)-(49⼀9)^0.5+[(0.008)^-(2⼀3)]⼀(0.02)^(-1⼀2)*(0.32)^0.5}⼀0.625^0.25

{(27⼀8)^-(2⼀3)-(49⼀9)^0.5+[(0.008)^-(2⼀3)]⼀(0.02)^(-1⼀2)*(0.32)^0.5}⼀0.625^0.25

2024-12-17 05:37:33

推荐回答（1个）

回答1：

{(27/8)^-(2/3)-(49/9)^0.5+[(0.008)^-(2/3)]/(0.02)^(-1/2)*(0.32)^0.5}/0.625^0.25
={(3/2)^-(3*2/3)-7/3+[(0.2)^-(3*2/3)]/(1/50)^(-1/2)*(8/25)^0.5}/0.625^0.25
={(2/3)^2-7/3+[(1/5)^-2]/(50^(1/2)*(8/25)^(1/2)}/(0.5^4/10)^0.25
={(4/9-7/3+5^2]/(50*8/25)^(1/2)}/(0.5/10^0.25)
={4/9-2-1/3+25]/16^(1/2)}/(0.5/10^0.25)
={1/9+23]/4)}/(0.5/10^0.25)
={208/36}/(1/2*10^0.25)
=52/9*2*10^0.25
=104*10^0.25/9