Question
Quantitative Aptitude Question on Exponents and Powers
If m and n are natural numbers such that n > 1, and m n = 225 × 340, then m − n equals
A
209942
B
209947
C
209932
D
209937
Answer
209947
Explanation
Solution
We can factorize m n:
m n = 225 × 340 = (25)5 × (38)5 = 325 × 65615
Comparing the exponents, we can see that m = 32 × 6561 = 209952 and n = 5.
Therefore, m - n = 209952 - 5 = 209947.