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\frac{1}{9}+\sqrt{\frac{64}{81}}
Calculate -\frac{1}{3} to the power of 2 and get \frac{1}{9}.
\frac{1}{9}+\frac{8}{9}
Rewrite the square root of the division \frac{64}{81} as the division of square roots \frac{\sqrt{64}}{\sqrt{81}}. Take the square root of both numerator and denominator.
\frac{1+8}{9}
Since \frac{1}{9} and \frac{8}{9} have the same denominator, add them by adding their numerators.
\frac{9}{9}
Add 1 and 8 to get 9.
1
Divide 9 by 9 to get 1.