Answer :
[tex]\begin{gathered} \Rightarrow(9^7)^{\frac{3}{14}} \\ \Rightarrow9^{7\times\frac{3}{14}} \\ \Rightarrow9^{\frac{3}{2}}=9^{1+\frac{1}{2}} \\ \Rightarrow9^{\frac{1}{2}}\times9 \\ \Rightarrow3\times9=27 \end{gathered}[/tex]