16Hit1600
Advanced MathHardCombining powers with different exponents

Advanced Math practice question

If 3ᵃ = 4 and 3ᵇ = 5, what is the value of 3^(2a − b)?

Answer: 16/5 or 3.2

3^(2a − b) = (3ᵃ)² / 3ᵇ = 16/5.

Common wrong answers

If you answered 3
3 comes from 2(4) − 5, treating the exponent rule as a difference of the values.
If you answered 80
80 multiplies 16 by 5 instead of dividing.
If you answered 8/5
8/5 uses 2 × 4 instead of 4².

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