16Hit1600
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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