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\left(\sqrt[3]{8}-3\right)\left(1-2^{2}\right)
Calculate the square root of 64 and get 8.
\left(2-3\right)\left(1-2^{2}\right)
Calculate \sqrt[3]{8} and get 2.
-\left(1-2^{2}\right)
Subtract 3 from 2 to get -1.
-\left(1-4\right)
Calculate 2 to the power of 2 and get 4.
-\left(-3\right)
Subtract 4 from 1 to get -3.
3
Multiply -1 and -3 to get 3.