Answer:

1. 2^(-5) can be evaluated as 1/2^5 or 1/32. Therefore, 2^(-5) = 1/32.

2. We can rewrite g^(-6) using positive exponents as follows:

g^(-6) = 1/g^6

Now, we can substitute this expression into the given expression:

h^4 z^(-5) * 1/g^6

The final answer is:

h^4 / (g^6 * z^5)

3.1. To simplify the expression (3/-25) * m^3 * 5n^5, we can first simplify the fraction by finding the greatest common factor (GCF) of the numerator and denominator:

3 and 25 have no common factor other than 1, so we cannot simplify the fraction any further. Now we can simplify the variables by combining like terms:

(3/-25) * m^3 * 5n^5 = -3/25 * m^3 * n^5

Therefore, the simplest form of the expression is:

-3/25 * m^3 * n^5