To rewrite the expression \( 7325^{-4} \) using only positive exponents, we apply the Property of Negative Integer Exponents, which states that \( a^{-n} = \frac{1}{a^n} \).
Starting with \( 7325^{-4} \):
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We can express this as: \[ 7325^{-4} = \frac{1}{7325^4} \]
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Recognizing that \( 7325 = 7^3 \cdot 25^4 \) allows us to rewrite it: \[ 7325^4 = (7^3 \cdot 25^4)^4 = (7^3)^4 \cdot (25^4)^4 = 7^{12} \cdot 25^{16} \]
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However, a more straightforward way to present this in terms of the options provided is simply using the property of the negative exponent without expanding explicitly: \[ 7325^{-4} = \frac{1}{7^3 \cdot 25^4} \]
Thus, using the property directly with the original expression, we see that:
\[ 7325^{-4} = \frac{1}{7^3 \cdot 25^4} = \frac{25^4}{7^3} \]
Among the options provided, the equivalent expression using only positive exponents is:
\[ \frac{25^4}{7^3} \]
Thus, the correct answer is:
25^4/7^3