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4+\sqrt[3]{-27}+\left(1-\sqrt{5}\right)^{0}
Calculate the square root of 16 and get 4.
4-3+\left(1-\sqrt{5}\right)^{0}
Calculate \sqrt[3]{-27} and get -3.
1+\left(1-\sqrt{5}\right)^{0}
Subtract 3 from 4 to get 1.
1+1
Calculate 1-\sqrt{5} to the power of 0 and get 1.
2
Add 1 and 1 to get 2.