16Hit1600
Advanced MathVery hardExponent from a product of powers of 2 and 4

Advanced Math practice question

If 2ᵃ · 4ᵇ = 2¹⁰ and a = 4, what is the value of b?

Answer: 3

4ᵇ = 2^(2b), so a + 2b = 10; with a = 4, 2b = 6 and b = 3.

Common wrong answers

If you answered 6
6 forgets that 4ᵇ is 2^(2b).
If you answered 2.5
2.5 divides 10 by 4.
If you answered 1.5
1.5 halves 3 again.

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