Step: Finding the greater number
Given, \(4^{3} or~ 3^{4}\)
since, \(4^{3} \)= \(4\times4\times4\) = \(64\)
and, \(3^{4} \)= \(3\times3\times3\times3\) = \(81\)
\(\because\) \(81\) is greater than \(64\)
\(\Rightarrow\) \(3^{4} \) > \(4^{3}\)
Hence, \(3^{4} \) is greater than \(4^{3}\).