Final answer:
The given algebraic expression consists of three separate terms.
Step-by-step explanation:
The expression in question, 8z⁴r + 2/z - 3z³r⁴, contains three distinct terms. To determine the number of terms in an algebraic expression, one counts the separated elements that are either added or subtracted. In this case, the three terms are 8z⁴r, 2/z, and -3z³r⁴. Each term is separated by a plus or minus sign, indicating individual quantities within the expression. Recognizing and understanding the number of terms is crucial for simplifying and analyzing algebraic expressions, allowing for a clearer comprehension of the mathematical relationships conveyed in the overall expression.