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CMA Foundation · Fundamentals of Business Mathematics and Statistics · Indices and Logarithms

The value of (2^5 × 2^3) ÷ 2^6 is:

The value is 2^2, which equals 4. Multiplying 2^5 and 2^3 adds the powers to give 2^8, and dividing by 2^6 subtracts the power 6, leaving 2^2.

  1. A2^2Correct
  2. B2^4
  3. C2^14
  4. D2^8

Explanation

Multiply by adding powers: 2^5 × 2^3 = 2^8. Divide by subtracting powers: 2^8 ÷ 2^6 = 2^2 = 4. Option 2^4 comes from wrongly adding 6 instead of subtracting it, which would give 2^14, not 2^4; 2^8 forgets the division.

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