It seems like you're describing an expression involving exponentiation and algebra. To clarify, it appears you are asking to apply the properties of integer exponents to simplify an expression that may look like this:
\[ \frac{(-2x - 3)^{0}}{4x^{0}} \]
Using the properties of exponents:
- Any non-zero number raised to the power of 0 is equal to 1. This applies to both the numerator and the denominator in your expression.
Thus,
\[ (-2x - 3)^{0} = 1 \quad \text{and} \quad 4x^{0} = 4 \cdot 1 = 4 \]
So we can rewrite your expression as:
\[ \frac{1}{4} \]
Therefore, the simplified equivalent expression is:
\[ \frac{1}{4} \]