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-\frac{2}{3}\left(-3\right)-\left(5\sqrt{0.04}+4\times 2^{-2}\right)
Calculate \sqrt[3]{-27} and get -3.
2-\left(5\sqrt{0.04}+4\times 2^{-2}\right)
Multiply -\frac{2}{3} and -3 to get 2.
2-\left(5\times 0.2+4\times 2^{-2}\right)
Calculate the square root of 0.04 and get 0.2.
2-\left(1+4\times 2^{-2}\right)
Multiply 5 and 0.2 to get 1.
2-\left(1+4\times \frac{1}{4}\right)
Calculate 2 to the power of -2 and get \frac{1}{4}.
2-\left(1+1\right)
Multiply 4 and \frac{1}{4} to get 1.
2-2
Add 1 and 1 to get 2.
0
Subtract 2 from 2 to get 0.