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2+\left(\pi -\frac{20}{9}\right)^{0}-\left(-1\right)^{2019}
Calculate \frac{1}{2} to the power of -1 and get 2.
2+1-\left(-1\right)^{2019}
Calculate \pi -\frac{20}{9} to the power of 0 and get 1.
3-\left(-1\right)^{2019}
Add 2 and 1 to get 3.
3-\left(-1\right)
Calculate -1 to the power of 2019 and get -1.
3+1
The opposite of -1 is 1.
4
Add 3 and 1 to get 4.