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2-\sqrt[3]{-\frac{1}{64}}\sqrt{16}
Calculate \sqrt[3]{8} and get 2.
2-\left(-\frac{1}{4}\sqrt{16}\right)
Calculate \sqrt[3]{-\frac{1}{64}} and get -\frac{1}{4}.
2-\left(-\frac{1}{4}\times 4\right)
Calculate the square root of 16 and get 4.
2-\left(-1\right)
Multiply -\frac{1}{4} and 4 to get -1.
2+1
The opposite of -1 is 1.
3
Add 2 and 1 to get 3.