Final answer:
To solve the expression 12 + x to the power of 4 - 6 when x = 8, you substitute 8 for x, calculate the exponent, and then perform the addition and subtraction, resulting in the final answer of 4102.
Step-by-step explanation:
The student's question asks to evaluate an algebraic expression when a particular value is substituted for the variable x. To address the equation 12 + x to the power of 4 - 6 when x = 8, we substitute 8 for x and then follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
- First, substitute x with 8: 12 + 84 - 6.
- Then, calculate the exponent: 12 + 4096 - 6.
- Finally, perform the addition and subtraction: 4102.
The solution to the equation given x = 8 is 4102.