Final answer:
The expression 1/3 y^2 - 18x + 9 - 2y^(-2) has 4 coefficients: 1/3, -18, 9, and -2.
Step-by-step explanation:
To determine how many coefficients are in the expression 1/3 y^2 - 18x + 9 - 2y^(-2), we need to look at each term separately. A coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression. Therefore, in this expression, the coefficients are:
- 1/3 for the term y^2
- -18 for the term x
- 9 is a constant term but can also be considered a coefficient (of 1, since 9 = 9*1)
- -2 for the term y^(-2)
So, in total, there are 4 coefficients in the expression.