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\sqrt[3]{27\times 2^{6}}
Calculate 3 to the power of 3 and get 27.
\sqrt[3]{27\times 64}
Calculate 2 to the power of 6 and get 64.
\sqrt[3]{1728}
Multiply 27 and 64 to get 1728.
12
Calculate \sqrt[3]{1728} and get 12.