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4+\sqrt[3]{64}-\sqrt[5]{32}
Calculate the square root of 16 and get 4.
4+4-\sqrt[5]{32}
Calculate \sqrt[3]{64} and get 4.
8-\sqrt[5]{32}
Add 4 and 4 to get 8.
8-2
Calculate \sqrt[5]{32} and get 2.
6
Subtract 2 from 8 to get 6.