Final answer:
The constant term of the expression is +18, the coefficient of the third term is -1, and the exponents of the variables in the first term are 5 for x and 1 for y.
Step-by-step explanation:
The student is asking about several aspects of the algebraic expression -6x5y + 3y - z2 + 18. Specifically, they want to know the constant term, the coefficient of the third term, and the exponents of the variables in the first term.
The constant term in an algebraic expression is the term that is not multiplied by any variables. In the given expression, the constant term is +18.
The coefficient of the third term refers to the number that multiplies the variable in that term. In this case, the third term is -z2, so its coefficient is -1, as it is understood that z2 is actually 1*z2.
The exponents of the variables in the first term are the powers to which the variables are raised. In the term -6x5y, variable x has an exponent of 5, and variable y has an exponent of 1 (since it is simply y, which is equivalent to y1).