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If r is an integer greater than 1, what is the value of (−1)r +1 if: a r is an odd integer

User Synctrex
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1 Answer

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Answer:

The value of the given expresion is zero.

Explanation:

I am assuming that, your exprssion is


{( - 1)}^(r) + 1

where r is an integer greater than 1.

Let us see what a negative base 1 to an off exponent give us:


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


{( - 1)}^(3) =-1


{( - 1)}^(5) =-1


{( - 1)}^(7) =-1

If r is odd, then


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

This implies that:


{( - 1)}^(r) + 1 = - 1 + 1 = 0

The value of the given expresion is 0.

User Arsenm
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