Apply the properties of integer exponents to generate an equivalent algebraic expression to (−2x^−3)^0/ 4x^0

Using the properties of integer exponents, we can simplify the expression as follows:

(−2x^−3)^0/ 4x^0

Since any number raised to the power of 0 is equal to 1, we have:

1/ 4x^0

Since any number raised to the power of 0 is equal to 1, x^0 is also equal to 1. Therefore, we have:

1/ 4(1)

Simplifying further, we get:

1/ 4

Thus, the equivalent algebraic expression is 1/4.