If 27³ ÷ 3⁵ = 3ⁿ, find n.
Show answer & explanation
Correct answer: D
Explanation
27³ ÷ 3⁵ = 3ⁿ
According to the formula:
aᵐ ÷ aⁿ = aᵐ⁻ⁿ
27 = 3³
27³ = (3³)³= 3⁹
3⁹ ÷ 3⁵
= 3⁹⁻⁵
= 3⁴
Therefore
3ⁿ = 3⁴
n = 4
SSC CHSL 2025 PYQ — Question 70
SSC CHSL - 13 Nov 2025 - Shift 2 • Quantitative Aptitude • Q70