Final answer:
The expression 'w^8/2^64' cannot be simplified without additional context or information. Typically, simplification involves subtracting exponents when dividing powers of the same base, but this is not applicable here due to different bases.
Step-by-step explanation:
The student has asked to simplify the mathematical expression w^8/2^64. To simplify this expression, we can use the laws of exponents which state that when powers of the same base are divided, we subtract the exponents. Therefore, if we have w^a / w^b, the result would be w^(a-b). However, the given expression does not seem to have a similar base or direct way to simplify since it involves a variable w raised to a power and a constant 2 raised to a power. It is possible that there is a typo in the question since 2^64 is a very large number and typically would not be presented in this form in a high school-level problem without context or further instructions on how to approach the variable w.
If the expression were w^8 / w^4, for example, we could simply subtract the exponents and the simplified form would be w^4. However, without additional context or a corrected problem statement, we cannot accurately simplify w^8/2^64.