Final answer:
Expressions in their simplest form are those where no further simplification is possible. Simplification involves eliminating terms when possible and applying rules like exponent addition. The final answer must be checked for reasonableness.
Step-by-step explanation:
The student is asking which expressions are already in their simplest form. To simplify algebraic expressions, we must eliminate terms wherever possible. For example, simplifying an expression like 3² · 3⁵ involves applying the rule of exponents, which states x⁺p · x⁻q = x⁺(p+q). Applied to our example, we get 3² · 3⁵ = 3⁷, as we simplistically add the exponents.
Similarly, when looking at the expressions provided by the student, one would check if terms can be combined or if any simplification is possible by factoring, combining like terms, or applying the rules for exponents. After simplification, reviewing the result to check if it is reasonable is an essential step to verify its correctness.