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\left(\frac{1}{3}\right)^{0}\times 1-\frac{1}{3}
Divide 1 by 1 to get 1.
1\times 1-\frac{1}{3}
Calculate \frac{1}{3} to the power of 0 and get 1.
1-\frac{1}{3}
Multiply 1 and 1 to get 1.
\frac{2}{3}
Subtract \frac{1}{3} from 1 to get \frac{2}{3}.