a^m/a^n(m < n) = ………………

Question

\(\frac{a^m}{a^n}\)(m < n) = ……………… 

A) \(\frac{1}{a^{n-m}}\)

B) a^n-m

C) a^m 

D) \(\frac{1}{a^{m-n}}\)

Answer 1

Correct option is (A) \(\frac{1}{a^{n-m}}\)

\(\because\) m < n

\(\Rightarrow\) n - m > 0

\(\frac{a^m}{a^n}=\frac1{a^n\times a^{-m}}=\frac1{a^{n-m}}\)

Answer 2

Correct option is   A) \(\frac{1}{a^{n-m}}\)