In terms of PEMDAS, you would first find -10 squared, which is 100, and multiply it by 7, giving you 700-1. The answer would be 699.
If you weren't going by PEMDAS, then you would take 7, multiply it by -10, square that, and subtract one from it. -70^2=4,900. Subtract 1, and your answer is 4,899.