Find the value and give reason for (-1)^20
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Answer = 1
If -1 is raised by an even power the answer is always 1 and the negatives get canceled
If -1 is raised by an odd power like 3,5 then answer is -1 as the negatives not get canceled
For example
-1^4 = -1 * -1 * -1 * -1
= 1 * 1
= 1
-1^3 = -1 * -1 * -1
= 1 * -1
= -1
So in this case -1 is raised by 20 which is even so answer is 1
If -1 is raised by an even power the answer is always 1 and the negatives get canceled
If -1 is raised by an odd power like 3,5 then answer is -1 as the negatives not get canceled
For example
-1^4 = -1 * -1 * -1 * -1
= 1 * 1
= 1
-1^3 = -1 * -1 * -1
= 1 * -1
= -1
So in this case -1 is raised by 20 which is even so answer is 1
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