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

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

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Step-by-step video solution

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00:00 Solve
00:03 First let's calculate the sign
00:06 Odd power, therefore the sign will be negative
00:10 Now let's calculate the power, 1 raised to any power is always equal to 1
00:16 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

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

2

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 .

3

Final Answer

1 -1

Practice Quiz

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\( \)\( -(2)^2= \)

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