计算下列各式的值

题目

计算下列各式的值
(1)(4/9)^1/2-(-9.6)^0-(27/8)^-2/3+1.5^-2
(2)log3[(4√27)/3]+lg25+lg4+1^log2(2)

答案

(1)(4/9)^1/2-(-9.6)^0-(27/8)^-2/3+1.5^-2=√(4/9)-1-[(3/2)^3]^-2/3+(3/2)^-2=2/3-1-(3/2)^-2+(3/2)^-2=2/3-1=-1/3(2)log3[(4√27)/3]+lg25+lg4+1^log2(2) =log3[27^(1/4)/3]+lg(25×4)+1=log3[3^(3/4)/3]+lg100+1...