Final answer:
To express 64 as a power of 2, we recognize that 64 is equal to 2 to the power of 6. Therefore, if the question asks to express 64 as 2^n, the solution for n would be 6.
Step-by-step explanation:
The given question involves expressing the product of 64.38 in the form 2^n and solving for n. To find the value of n, we first need to realize that 64 is 2^6 (because 2 * 2 * 2 * 2 * 2 * 2 = 64). The decimal value 0.38 is not immediately expressible as a power of 2, so it is likely a typo or misunderstanding in the original question. For this example, we will ignore the 0.38 and focus on solving for n with the whole number 64, which can be written as 2^6.
If the entire product actually needed to use the 0.38 as well, the problem would become more complex and not necessarily directly expressible as a simple power of 2. In such a scenario, one would need to use logarithms or another method to express the decimal part as a power of 2, which is outside the scope of the given question. Therefore, assuming that 64 is the correct value we're dealing with, n would equal 6 when we write 64 as 2^n.