To apply the Property of Negative Integer Exponents, we need to rewrite the expression \( 7325^{-4} \) to ensure all exponents are positive.
The expression \( 7325^{-4} \) can be rewritten using the property that \( a^{-n} = \frac{1}{a^n} \):
\[ 7325^{-4} = \frac{1}{7325^{4}} \]
Next, we can express \( 7325^{4} \) as:
\[ 7325^{4} = 7^{4} \cdot 25^{4} = 7^{4} \cdot (25^{4}) \]
Putting it all together, we have:
\[ 7325^{-4} = \frac{1}{7^{4} \cdot 25^{4}} = \frac{25^{4}}{7^{4}} \]
Now we compare this with the provided responses for an equivalent expression with only positive exponents:
- 25473: Not in the correct form.
- Start Fraction 25 superscript 4 baseline over 7 cubed end fraction: This means \( \frac{25^{4}}{7^{3}} \), which is not equivalent.
- 7 cubed times 25 superscript 4 baseline: This means \( 7^{3} \cdot 25^{4} \), which is not equivalent.
- Start Fraction 25 superscript 4 baseline over 7 negative cubed end fraction: This means \( \frac{25^{4}}{7^{-3}} = 25^{4} \cdot 7^{3} \), which is simplified in the wrong manner.
- 73254: Not in the correct form.
None of the options provided are equivalent to \( 7325^{-4} \) expressed with only positive exponents. The correct equivalent expression, \( \frac{25^{4}}{7^{4}} \), does not appear among the answers.
However, if the answer was to be one of these responses assuming some typographical mistakes, the closest option would be \( \frac{25^{4}}{7^{3}} \) if we assume it meant \( \frac{25^{4}}{7^{4}} \) instead.
Thus, based on steps shown above, the most suitable answer as per the property of negative exponents is \( \boxed{\frac{25^4}{7^4}} \), though it wasn't listed exactly in the options.
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