What is (-1) to the 101 power? Explain how you know and the steps

(-1) ^ 101 is - 1

to an even power it would be 1

negative * (negative) = positive

to an odd power it is negative

positive * negative = negative

since 101 means there are (-1) * -1 ... 101 time

it is odd

-1 * -1 = 1

this is an even power

1 * - 1 = - 1

this is an odd power

since 101 is odd

it will be negative