The following are the evaluation steps in order for the [tex]8 \times 3 \div\left(4^{2}-13\right)+5^{2}+4 \times 3[/tex] given expression:
Step 1: First perform exponentiation inside parentheses
[tex]4^{2}[/tex]
Step 2: Next, evaluate the contents of parentheses
(16 – 13)
Step 3: Before any multiplication or division, exponentiation outside parentheses should be done.
[tex]5^{2}[/tex]
Step 4: Perform multiplication and division from left to right
[tex]8 \times 3[/tex]
Step 5: Perform multiplication and division from left to right
[tex]\frac{24}{3}[/tex]
Step 6: Perform multiplication and division from left to right
[tex]4 \times 3[/tex]
Step 7: After all the multiplication and division, addition should be performed from left to right
(8 + 25)
Step 8: Perform addition from left to right
(33 + 12)
