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\sqrt[3]{\frac{54+10}{27}}-\left(0\times 3\right)^{2}
Multiply 2 and 27 to get 54.
\sqrt[3]{\frac{64}{27}}-\left(0\times 3\right)^{2}
Add 54 and 10 to get 64.
\frac{4}{3}-\left(0\times 3\right)^{2}
Calculate \sqrt[3]{\frac{64}{27}} and get \frac{4}{3}.
\frac{4}{3}-0^{2}
Multiply 0 and 3 to get 0.
\frac{4}{3}-0
Calculate 0 to the power of 2 and get 0.
\frac{4}{3}
Subtract 0 from \frac{4}{3} to get \frac{4}{3}.