Answer:
39
Step-by-step explanation:
Use PEMDAS.
Starting equation:
![3[8^{2}/(5^{2}-3^{2} )+9]](https://tex.z-dn.net/?f=3%5B8%5E%7B2%7D%2F%285%5E%7B2%7D-3%5E%7B2%7D%20%29%2B9%5D)
Start with evaluating the Exponents inside the innermost Parentheses:
![3[8^{2} /(25-9)+9]](https://tex.z-dn.net/?f=3%5B8%5E%7B2%7D%20%2F%2825-9%29%2B9%5D)
Evaluate the Subtraction inside the innermost Parentheses:
![3[8^{2} /(16)+9]](https://tex.z-dn.net/?f=3%5B8%5E%7B2%7D%20%2F%2816%29%2B9%5D)
Now that we have solved the first set of Parentheses, we need to solve the second, starting with the Exponents:
![3[64/16+9]](https://tex.z-dn.net/?f=3%5B64%2F16%2B9%5D)
Next, we need to evaluate the Division inside the Parentheses:
![3[4+9]](https://tex.z-dn.net/?f=3%5B4%2B9%5D)
After that, evaluate the Addition inside the Parentheses:
![3[13]](https://tex.z-dn.net/?f=3%5B13%5D)
Finally, evaluate the Multiplication:
![3[13]=39](https://tex.z-dn.net/?f=3%5B13%5D%3D39)
The answer is 39.