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

Question

asked Sep 7, 2021 158k views

1 Answer

Arsenm · Answer 1 · 2021-09-11T19:35:25+0000

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.