If (64)² × (8)⁸ ÷ (512)³ = (8)ᵐ, then find the value of m.
यदि (64)² × (8)⁸ ÷ (512)³ = (8)ᵐ है, तो m का मान ज्ञात कीजिए।
Answer और ExplanationAnswer and explanation
Answer: (D) 3
64 = 8², 512 = 8³
(8²)² × 8⁸ ÷ (8³)³ = 8⁴ × 8⁸ ÷ 8⁹ = 84 + 8 − 9 = 8³
8m = 8³ ⇒ m = 3
✓
m का मान 3 है।
64 = 8², 512 = 8³
(8²)² × 8⁸ ÷ (8³)³ = 8⁴ × 8⁸ ÷ 8⁹ = 84 + 8 − 9 = 8³
8m = 8³ ⇒ m = 3
✓
m = 3.
Source: UP Police SI · 15 Mar 2026 · Shift 2। Solution: Prashant Sir, Vijayastra।Source: UP Police SI · 15 Mar 2026 · Shift 2. Solution by Prashant Sir, from Vijayastra.