Simplify 2 cubed plus 3 to the fourth power, divided by 3, minus 5 squared.

1. Simplify the exponents first: 2 cubed is 8, 3 to the fourth power is 81, and 5 squared is 25. 2. Divide next, since division outranks addition and subtraction: 81 divided by 3 equals 27. 3. The expression is now 8 plus 27 minus 25. 4. Add from left to right: 8 plus 27 equals 35. 5. Finish the subtraction: 35 minus 25 equals 10. 6. Skipping the division and carrying the 81 forward gives 8 plus 81 minus 25, which equals 64 and ignores that division comes before subtraction. 7. Adding 25 instead of subtracting it gives 8 plus 27 plus 25, which equals 60 and reverses the sign of the last term. 8. Using 5 instead of squaring it first gives 8 plus 27 minus 5, which equals 30 and skips the exponent rule on the final term. _Source: OpenStax Prealgebra (CC BY 4.0), Ch 2 "The Language of Algebra", section 2.1 Use the Language of Algebra_