Which of the following is the equivalent expression to (15^−3 ⋅ 4^7)^0/4^−3 that has been generated by applying the Properties of Integer Exponents?(1 point)

To simplify the expression \((15^{-3} \cdot 4^{7})^{0}/4^{-3}\), we can follow these steps using the properties of exponents.

1. **Evaluate \((15^{-3} \cdot 4^{7})^{0}\)**:
Any non-zero expression raised to the power of 0 is equal to 1. Thus,
\[
(15^{-3} \cdot 4^{7})^{0} = 1.
\]

2. **Now, substitute this back into the expression**:
\[
\frac{1}{4^{-3}}.
\]

3. **Convert \(4^{-3}\)**:
The negative exponent means we take the reciprocal:
\[
4^{-3} = \frac{1}{4^{3}}.
\]

Therefore,
\[
\frac{1}{4^{-3}} = 4^{3}.
\]

4. **Calculate \(4^{3}\)**:
\[
4^{3} = 64.
\]

So the entire expression simplifies to \(64\).

The correct answer from your options is:
**64**.