CA Foundation · Quantitative Aptitude · Ratio and Proportion, Indices and Logarithms
The value of (27)^(2/3) × (16)^(−3/4) is:
The value is 9/8. Twenty-seven to the power two-thirds equals 9, and sixteen to the power minus three-quarters equals 1/8. Multiplying 9 by 1/8 gives 9/8.
- A9/8Correct
- B8/9
- C9/4
- D3/8
Explanation
27^(2/3) = (3^3)^(2/3) = 3^2 = 9. 16^(−3/4) = (2^4)^(−3/4) = 2^(−3) = 1/8. Product = 9/8. The option 8/9 results from inverting both signs wrongly.
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