Final answer:
To solve the expression 6^3 - 4^2 + 17 / (x - 4), first simplify the exponents, then perform the division, and finally subtract and add the results.
Step-by-step explanation:
To solve the expression 6^3 - 4^2 + 17 / (x - 4), we need to follow the order of operations which is PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
- First, we simplify the exponents: 6^3 = 6 * 6 * 6 = 216 and 4^2 = 4 * 4 = 16.
- Next, we divide 17 by (x - 4).
- Finally, we subtract 16 from 216 and add the result to the division. So the expression simplifies to 200 + 17 / (x - 4).
Note: Remember to consider any restrictions on the variable x, such as avoiding division by zero.