Answer:
39
Explanation:
Use PEMDAS.
Starting equation:
![3[8^(2)/(5^(2)-3^(2) )+9]](https://img.qammunity.org/2021/formulas/mathematics/high-school/no9bzcsb3hzxhcbxul4mcstttuf7es6o21.png)
Start with evaluating the Exponents inside the innermost Parentheses:
![3[8^(2) /(25-9)+9]](https://img.qammunity.org/2021/formulas/mathematics/high-school/ka4s8popk58djhehs5v37gxqekx1v29zun.png)
Evaluate the Subtraction inside the innermost Parentheses:
![3[8^(2) /(16)+9]](https://img.qammunity.org/2021/formulas/mathematics/high-school/d4n8mxs6msmmftfnd53exmz6jx1eijmlxw.png)
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://img.qammunity.org/2021/formulas/mathematics/high-school/w39cilgtsxsxh1otkeetovnttjnvszxru2.png)
Next, we need to evaluate the Division inside the Parentheses:
![3[4+9]](https://img.qammunity.org/2021/formulas/mathematics/high-school/uwe590vvnermw2tlwftqag76uhmdvbd6sb.png)
After that, evaluate the Addition inside the Parentheses:
![3[13]](https://img.qammunity.org/2021/formulas/mathematics/high-school/yn5g0tr4fldl2iybjxb6iss3nwe6jv84j6.png)
Finally, evaluate the Multiplication:
![3[13]=39](https://img.qammunity.org/2021/formulas/mathematics/high-school/17x105xokfk3y4vs6ruwmnqdcyf5bh9ris.png)
The answer is 39.