Final answer:
The expression '4x4+6x(4x)^2x/6' provided by the student is ambiguous. Assuming a corrected form, one would substitute x = 3, apply exponent rules, perform multiplication, and follow the order of operations to find the value of the expression.
Step-by-step explanation:
The student has provided an expression to compute given that x = 3. However, the provided expression, '4x4+6x(4x)^2x/6', seems to have a typo or is not clearly formatted. If the aim is to evaluate the expression given x = 3, it is important to clarify the expression further. Usually, mathematical expressions have clear operations indicated between terms, such as addition (+), subtraction (-), multiplication (* or ×), and division (/ or ÷), along with proper use of parentheses to indicate the order of operations.
Assuming a possible correct form could be '4x^4 + 6x(4x)^2 × (x/6)', we can proceed step by step:
- First, we substitute x with 3.
- Calculate the power of x in each term, remembering that a number raised to a power should be multiplied by itself as many times as the value of the power.
- Multiply out any parenthetical expressions.
- Finally, add or multiply terms as needed to get the final result.
This procedure follows the rules of exponents and order of operations (PEMDAS/BODMAS), which is essential for correctly solving mathematical expressions.