Question

Which of the following is an equivalent expression to 15(0) ⋅ 7(−2)/(−4)(−3)
with only positive exponents that has been generated by applying the Properties of Integer Exponents?(1 point)
Responses

(−4)372
start fraction left parenthesis negative 4 right parenthesis cubed over 7 squared end fraction

172 ⋅ (−4)−3
Start Fraction 1 over 7 squared times left parenthesis negative 4 right parenthesis superscript negative 3 baseline End Fraction

72(−4)3
Start Fraction 7 squared over left parenthesis negative 4 right parenthesis cubed end fraction

4(3)/7(2)

Answer 1

Let's simplify the original expression step by step and then compare it with the responses provided.

The expression given is:

\[ \frac{15(0) \cdot 7(-2)}{(-4)(-3)} \]

1. **Calculate \( 15(0) \)**: This equals 0.
2. Since the numerator contains 0, the entire expression simplifies to 0, regardless of the denominator.

Now let's analyze each of the response options to find out which one simplifies to 0:

1. **Response 1**: \((−4)^3/7^2\)
This is not equal to 0.

2. **Response 2**: \(172 \cdot (−4)^{-3}\)
The product is not zero; therefore, this is not equal to 0.

3. **Response 3**: \(7^2/(-4)^3\)
This expression is not zero either.

4. **Response 4**: \(4(3)/7(2)\)
This expression is also not zero.

Upon careful consideration, none of the given options are equivalent to 0.

If you meant to ask for an expression involving only positive exponents based on different conditions or an error occurred in the statement of the options, let me know!