Calculate (-1)^99: Evaluating Powers of Negative One

Question

(1)99= (-1)^{99}=

Video Solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Determine the nature of the exponent (odd or even).
  • Step 2: Apply the specific rule for the power of 1-1 based on the exponent's nature.

Now, let's work through each step:
Step 1: The exponent is 9999, which is odd.
Step 2: For the power of 1-1, the rule states that if the exponent is odd, (1)n=1 (-1)^n = -1 . Thus, (1)99=1 (-1)^{99} = -1 .

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

Answer

1 -1