Mathematics Knowledge (MK)Difficulty 2/5
What is (2³)² × 2⁻²?
- A64
- B8
- C16
- D32
Show answer and rationale
Correct: C. Power of a power multiplies exponents: (2³)² = 2⁶ = 64. Multiplying by 2⁻² subtracts 2 from the exponent: 2⁴ = 16.
- B — 8 = 2³, missing the square.
- D — 32 = 2⁵.
- A — 64 = 2⁶, ignoring the 2⁻² factor.