-1
To use regrouping to solve, we need to add and subtract the numbers in the expression, taking care to keep track of any negative signs.
10 - 1 - 1 - 6 - ² - 2
= 10 - (1 + 1) - 6 - ² - 2 [Group the first two numbers together and add them]
= 10 - 2 - 6 - ² - 2 [Simplify the first three terms]
= (10 - 2) - 6 - ² - 2 [Group the first two terms together and subtract them]
= 8 - 6 - ² - 2 [Simplify the first two terms]
= 2 - ² - 2 [Simplify the first two terms]
= -1 [Simplify the expression by subtracting ² and 2 from -1]
Therefore, the final answer is -1.