The number of prime factors in the expressions 6⁴ × 8⁶ × 10⁸ × 12¹⁰ is:

A. 80

B. 64

C. 72

D. 48

Answer: Option C

Solution(By Examveda Team)

6⁴ × 8⁶ × 10⁸ × 12¹⁰
= (2 × 3)⁴ × (2³ )⁶ × (2 × 5)⁸ × (2² × 3 )¹⁰
= 2⁴ × 3⁴ × 2¹⁸ × 2⁸ × 5⁸ × 2²⁰ × 3¹⁰
= 2⁵⁰ × 3¹⁴ × 5⁸
Thus, the total prime factors,
= 50 + 14 + 8 [By adding maximum power of prime factors.]
= 72