CA Foundation · Quantitative Aptitude · Ratio and Proportion, Indices and Logarithms
The value of (27)^(2/3) × (16)^(−1/2) is:
The value is 9/4. Since 27 is 3³, raising to 2/3 gives 3² = 9. Since 16^(−1/2) means one over the square root of 16, it equals 1/4. Multiplying 9 by 1/4 gives 9/4.
- A9/4Correct
- B4/9
- C3/4
- D9/16
Explanation
27^(2/3) = (3³)^(2/3) = 3² = 9. 16^(−1/2) = 1/√16 = 1/4. Product = 9/4. The option 4/9 results from inverting both terms, i.e. ignoring which power is negative.
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