STEP 1: Identify and Set Up
The question is a test of our understanding of the mathematical operations to employ before the others. Typically, there is an acronym that gives a hint on the order as stated below:
B - Bracket
O - Of
D/M - Division/Multiplication
A/S - Addition/Subtraction.
We have brackets in our question so we take care of it first,
Then we treat the numbers raised to powers.
Lastly, we now do the addition and subtraction.
STEP 2: Execute
![\begin{gathered} 5^3-(64/8)+10^2 \\ 5^3-8+10^2 \\ 125-8+100 \\ 125+100-8 \\ 225-8=217 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/3j6yxz7iyhg3cscrzdpzvqrhqibl308hoo.png)
Answer = 217