(-1) 1001 integers .solve this

-1

Step-by-step explanation:

(-1)^1001

= (-1)^1000 * (-1)^1

Since -1 raise to the power of an even number gives a positive value, then;

(-1)^1000 = 1

(-1)^1000 * (-1)^1 = 1 * -1

(-1)^1000 * (-1)^1 = -1

Hence (-1)^1001 = -1