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\sqrt[3]{8\times 4^{6}}
Add 2 and 2 to get 4.
\sqrt[3]{8\times 4096}
Calculate 4 to the power of 6 and get 4096.
\sqrt[3]{32768}
Multiply 8 and 4096 to get 32768.
32
Calculate \sqrt[3]{32768} and get 32.