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1+\left(-1\right)^{1}+\left(-1\right)^{2}+\left(-1\right)^{4}
Calculate -1 to the power of 0 and get 1.
1-1+\left(-1\right)^{2}+\left(-1\right)^{4}
Calculate -1 to the power of 1 and get -1.
\left(-1\right)^{2}+\left(-1\right)^{4}
Subtract 1 from 1 to get 0.
1+\left(-1\right)^{4}
Calculate -1 to the power of 2 and get 1.
1+1
Calculate -1 to the power of 4 and get 1.
2
Add 1 and 1 to get 2.