Simplify: (√7)⁶ ÷ (√7)⁴ = 7ⁿ
Show answer & explanation
Correct answer: D
Explanation
(√7)⁶ ÷ (√7)⁴ = 7ⁿ
aᵐ ÷ aⁿ = aᵐ⁻ⁿ
(√7)⁶ ÷ (√7)⁴ = (√7)²
√7 = 7¹ᐟ²
⇒ (√7)² = (7¹ᐟ²)² = 7¹
Hence n = 1
SSC CPO 2025 PYQ — Question 119
SSC CPO - 9 Dec 2025 - Shift 1 • Quantitative Aptitude • Q119