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-\left(-5\right)+\sqrt[6]{\left(-27\right)^{2}}
Calculate \sqrt[3]{-125} and get -5.
5+\sqrt[6]{\left(-27\right)^{2}}
The opposite of -5 is 5.
5+\sqrt[6]{729}
Calculate -27 to the power of 2 and get 729.
5+3
Calculate \sqrt[6]{729} and get 3.
8
Add 5 and 3 to get 8.