Advanced MathMediumExponents from a product and a difference
Advanced Math practice question
If 2ᵃ · 2ᵇ = 2⁷ and a − b = 1, what is the value of a?
Answer: 4
2ᵃ · 2ᵇ = 2^(a + b), so a + b = 7. With a − b = 1, adding gives 2a = 8, a = 4.
Common wrong answers
- If you answered 3
- 3 is b.
- If you answered 7
- 7 is a + b.
- If you answered 3.5
- 3.5 is half of 7, ignoring the difference.
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