To solve this expression, we need to follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).

First, let's simplify the expression inside the parentheses:
9 - 7 = 2

Now, let's simplify the exponent:
2³ = 2 * 2 * 2 = 8

Now, let's simplify the multiplication:
5 * 3² = 5 * 9 = 45

Now, let's simplify the addition:
45 + 8 = 53

Finally, let's divide by 9:
53 ÷ 9 = 5.888888888888889

Therefore, the final result is approximately 5.888888888888889.