Answer:
The value of the given expresion is zero.
Step-by-step explanation:
I am assuming that, your exprssion is
[tex] {( - 1)}^{r} + 1[/tex]
where r is an integer greater than 1.
Let us see what a negative base 1 to an off exponent give us:
[tex] {( - 1)}^{1} =-1[/tex]
[tex] {( - 1)}^{3} =-1[/tex]
[tex] {( - 1)}^{5} =-1[/tex]
[tex] {( - 1)}^{7} =-1[/tex]
If r is odd, then
[tex] {( - 1)}^{r} = - 1[/tex]
This implies that:
[tex] {( - 1)}^{r} + 1 = - 1 + 1 = 0[/tex]
The value of the given expresion is 0.
