If a and b are two integers, which of the following is NOT necessarily an integer?
- a⁷
- b*
- a * b
- 2a – 5b
Explanation
Let’s analyze each option under the assumption that a and b are integers:
a⁷ → Square of an integer → Always an integer
b* → Ambiguous; if it means b raised to some power (like a^b or b^a), then:
If b = 2 and a = -1, then b^a = 2⁻¹ = 0.5, not an integer
So, this is not necessarily an integer
a * b → Product of two integers → Always an integer
2a – 5b → Linear combination of integers → Always an integer
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