### Instruction: What is $5^3 - (3^2-5)^3$?### Response: To evaluate this expression, I need to apply the order of operations: parentheses, exponents, multiplication and division, and addition and subtraction.
First, I simplify the expression inside the parentheses: $3^2-5 = 9-5 = 4$.
So the expression becomes $5^3 - 4^3$.
Next, I evaluate the exponents: $5^3 = 125$ and $4^3 = 64$.
So the expression becomes $125 - 64$.
Finally, I subtract: $125 - 64 = 61$.
Therefore, the answer is 61.