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8-6^{3}+\sqrt[3]{125}
Calculate 2 to the power of 3 and get 8.
8-216+\sqrt[3]{125}
Calculate 6 to the power of 3 and get 216.
-208+\sqrt[3]{125}
Subtract 216 from 8 to get -208.
-208+5
Calculate \sqrt[3]{125} and get 5.
-203
Add -208 and 5 to get -203.