Advanced MathMediumCombining powers with a common base
Advanced Math practice question
If 10ᵃ = 2 and 10ᵇ = 3, what is the value of 10^(a + b + 1)?
Answer: 60
10^(a + b + 1) = 10ᵃ · 10ᵇ · 10¹ = 2 × 3 × 10 = 60.
Common wrong answers
- If you answered 6
- 6 forgets the extra factor of 10 from the +1.
- If you answered 16
- 16 is 2 + 3 + 10 + 1, adding instead of multiplying.
- If you answered 50
- 50 comes from (2 + 3) × 10, adding the first two values instead of multiplying them.
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