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7-\left(\sqrt{0.64}+\sqrt[3]{0.125}\right)
Calculate the square root of 49 and get 7.
7-\left(0.8+\sqrt[3]{0.125}\right)
Calculate the square root of 0.64 and get 0.8.
7-\left(0.8+\frac{1}{2}\right)
Calculate \sqrt[3]{0.125} and get \frac{1}{2}.
7-\frac{13}{10}
Add 0.8 and \frac{1}{2} to get \frac{13}{10}.
\frac{57}{10}
Subtract \frac{13}{10} from 7 to get \frac{57}{10}.