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CA Foundation · Quantitative Aptitude · Ratio and Proportion, Indices and Logarithms

The value of (2^5 × 2^(−3)) ÷ 2^(−1) is:

The value is 8. Multiplying powers of 2 gives 2^2, and dividing by 2^(−1) subtracts the exponent −1, giving 2^3. Equivalently, 4 divided by one-half equals 8.

  1. A2
  2. B4Correct
  3. C8
  4. D1/2

Explanation

Combine exponents: 2^5 × 2^(−3) = 2^2. Dividing by 2^(−1) means subtracting −1, so 2^(2−(−1)) = 2^3 = 8. Check: 4 ÷ (1/2) = 8. Wait, so the correct value is 8; the option 4 arises from forgetting to flip the sign when dividing by 2^(−1).

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