a) 3*(2/3+1/9^(3/2))-1/27^(2/3)=3*(2/3+1/3^3)-1/3^2=3*(2/3+1/27)-1/9=3*(19/27)-1/9=19/9-1/9=18/9=2 b) 1/((625/81)^(3/4)/(5/3)^3-(1/8)^(1/3))^2=1/((5/3)^3/(125/27)-1/2)^2=1/((125/27)/(125/27)-1/2)^2=1/(1-1/2)^2=1/(1/2)^2=1/(1/4)=4 c) sqrt3(9*3/8)+1/(1/3-2/3)^2=sqrt3(27/8)+1/(-1/3)^2=(3/2)+1/(1/9)=3/2+9=21/2 d) ((25-5)/4*125)^(3/4)=(20/4*125)^(3/4)=625^(3/4)=5^3=125
a) 3*(2/3+1/9^(3/2))-1/27^(2/3)=3*(2/3+1/3^3)-1/3^2=3*(2/3+1/27)-1/9=3*(19/27)-1/9=19/9-1/9=18/9=2
b) 1/((625/81)^(3/4)/(5/3)^3-(1/8)^(1/3))^2=1/((5/3)^3/(125/27)-1/2)^2=1/((125/27)/(125/27)-1/2)^2=1/(1-1/2)^2=1/(1/2)^2=1/(1/4)=4
c) sqrt3(9*3/8)+1/(1/3-2/3)^2=sqrt3(27/8)+1/(-1/3)^2=(3/2)+1/(1/9)=3/2+9=21/2
d) ((25-5)/4*125)^(3/4)=(20/4*125)^(3/4)=625^(3/4)=5^3=125