Solve (1-4)^-2

Answer 1

To solve (1-4)^-2, we need to evaluate the expression in parentheses first.

1 - 4 = -3

Therefore, the expression becomes (-3)^-2.

To simplify this further, we use the rule that a negative exponent means the reciprocal of the base raised to the positive exponent:

(-3)^-2 = 1/(-3)^2 = 1/9

So, (1-4)^-2 = 1/9.