Question

Is the following statement true or false? For every integer n, if n is prime then (−1)n = −1. Which of the choices below answers the question? (Select all that apply.) The statement is true because all prime numbers are odd, and −1 raised to any odd power is −1. The statement is true. For instance, when n = 3, (−1)n = (−1)3 = −1. The statement is false because when n = 0, (−1)n = (−1)0 = 1. The statement is false because not every prime number is odd, and −1 raised to an even power is 1.

          Is the following statement true or false?
For every integer n, if n is prime then 
(−1)n = −1.
Which of the choices below answers the question? (Select all that apply.)
The statement is true because all prime numbers are odd, and −1 raised to any odd power is −1.
The statement is true. For instance, when n = 3, (−1)n = (−1)3 = −1.
The statement is false because when n = 0, (−1)n = (−1)0 = 1.
The statement is false because not every prime number is odd, and −1 raised to an even power is 1.

Added by Brittany L.

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