Answer:

Here are the evaluations of the expressions with zero and negative exponents:

1. (6m³n³q²)⁰:

Any number or expression raised to the power of zero is equal to 1. Therefore, (6m³n³q²)⁰ = 1.

2. a⁻³:

A negative exponent indicates the reciprocal of the base raised to the positive exponent. So, a⁻³ = 1/a³.

3. a⁻³/b:

Similar to the previous expression, a⁻³ is equal to 1/a³. Therefore, a⁻³/b = (1/a³)/b = 1/(a³b).

4. X⁻³/y⁻⁵:

Using the same rule as before, X⁻³ = 1/X³ and y⁻⁵ = 1/y⁵. So, X⁻³/y⁻⁵ = (1/X³)/(1/y⁵) = y⁵/X³.

5. (2m⁻⁵)/(4b⁷):

For this expression, the negative exponent applies to the variable directly. So, 2m⁻⁵ = 2/m⁵. Therefore, (2m⁻⁵)/(4b⁷) = (2/m⁵)/(4b⁷).

I hope this helps!