Final answer:
Out of the given options, (-1)^3 is the expression that is not equal to 1, as negative one raised to any odd power remains negative one.
Step-by-step explanation:
The question asked is "Which is not equal to 1?" with options given as various exponents and one division of exponents. The subject of this question is Mathematics, and the grade level is most likely High School. To find which expression is not equal to 1, we can evaluate each provided option:
- (5)^0: Any non-zero number raised to the power of 0 is equal to 1.
- (-1)^3: Negative one raised to any odd power remains negative one, thus (-1)^3 = -1.
- (1)^(-2): One raised to any power is always equal to 1.
- (9)^3 ÷ (9)^3: Dividing two identical terms with the same exponent results in 1, because any non-zero number divided by itself is equal to 1.
From these evaluations, we can determine the answer is b) (-1)^3, which is not equal to 1.