Solution:

Given expression is 2(256) power -1/8

We can simplify the expression as follows:

2(256) power -1/8 = (2 power 8) power 256 * (-1/8) = 2 power 2048 * (-1/8)

= 2 power (-256)

Therefore, the value of the given expression is 1/(2 power 256)

Explanation:

To understand the solution, let us first revise the concept of exponents and powers.

- Exponents or powers are a shorthand way of representing the multiplication of a number by itself a certain number of times.
- For example, 2 power 3 means 2 multiplied by itself 3 times, which is equal to 8.
- Similarly, 2 power 4 means 2 multiplied by itself 4 times, which is equal to 16.
- In general, a power expression can be written as a base number raised to an exponent or power. The base number is the number being multiplied, and the exponent or power tells us how many times to multiply the base number by itself.

Now let us apply this concept to the given expression.

- The expression 2(256) power -1/8 means 2 raised to the power of 256 multiplied by -1/8.
- We can simplify the expression by using the laws of exponents. According to the law (a power b) power c = a power (b*c), we can write 2(256) power -1/8 as (2 power 8) power 256 * (-1/8).
- We can also use the law a power -n = 1/(a power n) to simplify the expression further. Therefore, 2(256) power -1/8 = 2 power (8*256*(-1/8)) = 2 power (-256).
- Finally, we can evaluate the expression by using the law a power -n = 1/(a power n). Therefore, 2 power (-256) = 1/(2 power 256).

Hence, the value of the given expression is 1/(2 power 256).

Answer is 1