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\left(1+1^{3}\right)^{3}
Calculate \sqrt[3]{1} and get 1.
\left(1+1\right)^{3}
Calculate 1 to the power of 3 and get 1.
2^{3}
Add 1 and 1 to get 2.
8
Calculate 2 to the power of 3 and get 8.