So to simplify this, we have the equation:
[tex] (7+4(5-3))^{2}+\frac{9}{3} [/tex]
Using PEMDAS, we can solve for what's in the parentheses:
[tex] (7+4(2))^{2}+\frac{9}{3} [/tex]
[tex] (7+8)^{2}+\frac{9}{3} [/tex]
[tex] (15)^{2}+\frac{9}{3} [/tex]
Then we can solve the exponential part:
[tex] 225+\frac{9}{3} [/tex]
And we know that [tex] \frac{9}{3} [/tex] is equal to 3, so we can solve completely:
[tex] 225+3=228 [/tex]
So the answer is 228.