To simplify the expression \( \frac{7^3}{25^{-4}} \) and express it with only positive exponents, we can use the property of negative exponents, which states that \( a^{-n} = \frac{1}{a^n} \).
So, we'll transform \( 25^{-4} \) as follows:
\[ 25^{-4} = \frac{1}{25^4} \]
Thus, the expression \( \frac{7^3}{25^{-4}} \) can be rewritten by substituting:
\[ \frac{7^3}{25^{-4}} = 7^3 \times 25^4 \]
This means the expression is now in terms of positive exponents.
So, the equivalent expression to \( \frac{7^3}{25^{-4}} \) with only positive exponents is:
\[ 7^3 \cdot 25^4 \]
From the options you provided, it corresponds to:
73⋅254
So, the answer is \( 7^3 \cdot 25^4 \).