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-11-\left(-1\right)^{3}+4^{0}-\sqrt{9}
Calculate the square root of 121 and get 11.
-11-\left(-1\right)+4^{0}-\sqrt{9}
Calculate -1 to the power of 3 and get -1.
-11+1+4^{0}-\sqrt{9}
The opposite of -1 is 1.
-10+4^{0}-\sqrt{9}
Add -11 and 1 to get -10.
-10+1-\sqrt{9}
Calculate 4 to the power of 0 and get 1.
-9-\sqrt{9}
Add -10 and 1 to get -9.
-9-3
Calculate the square root of 9 and get 3.
-12
Subtract 3 from -9 to get -12.