Solve: Evaluating -(-1)^100 with Double Negatives

Question

(1)100= -(-1)^{100}=

Video Solution

Step-by-Step Solution

To solve the problem, we need to evaluate the expression (1)100-(-1)^{100}.

  • Step 1: Assess the exponent in (1)100(-1)^{100}. Since 100100 is an even number, the property of powers of 1-1 tells us that (1)100=1(-1)^{100} = 1.
  • Step 2: Now, consider the entire expression. We have an outer negation: (+1)-(+1). Arithmetic operation of negation results in 1-1.

Therefore, the solution to the problem is 1-1.

Answer

1 -1