CA Foundation · Quantitative Aptitude · Ratio and Proportion, Indices and Logarithms
The value of (2³ × 2⁵) ÷ 2⁴ is:
The value is 2⁴. When multiplying powers of the same base, exponents add, giving 2⁸. When dividing, exponents subtract, so 2⁸ ÷ 2⁴ equals 2⁴, which is 16. The other options come from mistakes in adding or subtracting exponents.
- A2²
- B2⁴Correct
- C2⁶
- D2¹²
Explanation
Add exponents in the product: 2³ × 2⁵ = 2⁸. Then subtract exponents for division: 2⁸ ÷ 2⁴ = 2⁴ = 16. Option 2⁶ would arise from wrongly computing 3 + 5 − 2, and 2² from subtracting 3 + 5 − ... incorrectly.
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