Question
Download Solution PDFनिम्नलिखित प्रश्न में प्रश्नवाचक चिन्ह (?) के स्थान पर क्या आएगा?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
(2 × 3)3 × (4 × 9)2 × (27 × 8)2 = (6)?
प्रयुक्त सूत्र:
सरलीकरण के लिए: (a × b)n = an × bn
गणना:
(2 × 3)3 × (4 × 9)2 × (27 × 8)2 = (6)?
⇒ (23 × 33) × (42 × 92) × (272 × 82) = (6)?
⇒ (8 × 27) × (16 × 81) × (729 × 64) = (6)?
⇒ 2 और 3 की घातों को संयोजित करते हैं:
⇒ 23 × 24 × 26 × 33 × 34 × 36 = (6)?
⇒ 2(3+4+6) × 3(3+4+6) = (6)?
⇒ 213 × 313 = (6)?
⇒ (2 × 3)13 = (6)?
⇒ 613 = 6?
⇒ ? = 13
∴ सही उत्तर विकल्प (1) है।
Last updated on Mar 12, 2025
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