解1:
(-1)^2012+(-1/3)^(-2)-(3.14-π)^0+(-2)^2
=[(-1)^2]^1006+1/[(-1/3)^2]-1+4
=1+1/(1/9)-1+4
=1+9-1+4
=13
解2:
[(-1/3)^(-2)][(2/3)^2011][(-3/2)^2012]
={1/[(-1/3)^2]}[(2^2011)/(3^2011)]{[(-3/2)^2]^1006}
=(3^2)(2^2011)(3^2012)[3^(-2011)][2^(-2012)]
=[3^(2+2012-2011)][2^(2011-2012)]
=(3^3)[2^(-1)]
=27/2