The only number with an exponent or elevated whose result is 1, regardless, is when a number has zero as the exponent or the base itself is one. 1 raised to the power of 100 is still 1
Not only that: notice how the exponent is even because if you have 2x+2
x= 0 >>> even
x=1 >> even
......
And because the exponent is even always, we do know that when \(x^2\) our base or \(x\) could be also negative
\(1^2=1\)
\(-1^2=1\)
still positive for any number
So we must have two scenarios at the same time
1) the power is zero , so the number raised to zero is 1
OR
2) a number, one positive and one negative, raised to the power, regardless the entity of the power, you still get 1
The three values are: zero, one, and minus one \(= 0,1,-1\).
So three values and the answer is 3
Tough question , really.
You need to master as cold the exponent and number properties rules
See the new quant handout. I have just completed it
https://gre.myprepclub.com/forum/gre-math- ... tml#p95352