(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
=log3[3^(3/4-1)]+lg10^2+1
=log3[3^(-1/4)]+2lg10+1
=-1/4+2+1
=11/4