Step-by-step explanation:
[tex] \dfrac{{(16 - 9)}^{9} }{({ {(5 + 2)}^{3} } )^{2} } [/tex]
[tex] \dfrac{ {7}^{9} }{ {7}^{(2 \times 3 = 6)} } [/tex]
[tex] \dfrac{ {7}^{9} }{ {7}^{6} } [/tex]
[tex] = {7}^{(9 - 6)} [/tex]
[tex] = {7}^{3} [/tex]
[tex] = 343[/tex]
is the answer.
Hope it helps :D