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9+\left(-2\right)^{3}-\sqrt[3]{-27}
Calculate the square root of 81 and get 9.
9-8-\sqrt[3]{-27}
Calculate -2 to the power of 3 and get -8.
1-\sqrt[3]{-27}
Subtract 8 from 9 to get 1.
1-\left(-3\right)
Calculate \sqrt[3]{-27} and get -3.
1+3
The opposite of -3 is 3.
4
Add 1 and 3 to get 4.