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\sqrt{9}+\left(-1\right)^{6}-\left(-1,2\right)^{0}+\sqrt[3]{4^{6}}
Calculate -3 to the power of 2 and get 9.
3+\left(-1\right)^{6}-\left(-1,2\right)^{0}+\sqrt[3]{4^{6}}
Calculate the square root of 9 and get 3.
3+1-\left(-1,2\right)^{0}+\sqrt[3]{4^{6}}
Calculate -1 to the power of 6 and get 1.
4-\left(-1,2\right)^{0}+\sqrt[3]{4^{6}}
Add 3 and 1 to get 4.
4-1+\sqrt[3]{4^{6}}
Calculate -1,2 to the power of 0 and get 1.
3+\sqrt[3]{4^{6}}
Subtract 1 from 4 to get 3.
3+\sqrt[3]{4096}
Calculate 4 to the power of 6 and get 4096.
3+16
Calculate \sqrt[3]{4096} and get 16.
19
Add 3 and 16 to get 19.