CA Foundation · Quantitative Aptitude · Ratio and Proportion, 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 gives 2^8 because exponents add when bases are the same. Dividing by 2^6 subtracts the exponent 6, giving 2^(8−6) = 2^2.
- A2^2Correct
- B2^4
- C2^14
- D2^1
Explanation
Multiplying powers of the same base adds the exponents: 2^5 × 2^3 = 2^8. Dividing by 2^6 subtracts exponents: 2^(8−6) = 2^2 = 4. Option 2^14 comes from adding 6 instead of subtracting, and 2^4 from wrongly multiplying 5 and 3 before... or mis-subtracting.
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