IB ACIO Grade II previous year question
Simplify: (27/216)^(2/3) × (512/729)^(−2/3) ÷ (2/7)^(−2)
Asked in IB ACIO Grade II (16 Sep 2025 Shift 1) · Quantitative Aptitude
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Correct answer: (A) 81/3136
27/216 = (3/6)³ = (1/2)³ → (1/2)² = 1/4. 512/729 = (8/9)³ → raised to −2/3 gives (9/8)² = 81/64. (2/7)^(−2) = (7/2)² = 49/4, so dividing means multiplying by 4/49. Combine: (1/4)×(81/64)×(4/49) = 81/(64×49) = 81/3136.
हिंदी में प्रश्न
दिए गए व्यंजक को सरलीकृत कीजिए: (27/216)^(2/3) × (512/729)^(−2/3) ÷ (2/7)^(−2)
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उत्तर और व्याख्या देखें
सही उत्तर: (A) 81/3136
27/216 = (1/2)³ → (1/2)² = 1/4. 512/729 = (8/9)³ → घात −2/3 पर (9/8)² = 81/64. (2/7)^(−2) = 49/4, भाग देने पर 4/49 से गुणा। कुल: (1/4)×(81/64)×(4/49) = 81/3136.
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