Which of the following is an equivalent expression to 7^3/25^−4 with only positive exponents, generated by applying the Property of Negative Integer Exponents?

Answer 1

To simplify the expression \( \frac{7^3}{25^{-4}} \) using the Property of Negative Integer Exponents, we can use the property that states \( a^{-n} = \frac{1}{a^n} \).

Starting with the original expression:

\[ \frac{7^3}{25^{-4}} \]

Since \( 25^{-4} \) can be rewritten as \( \frac{1}{25^4} \), we have:

\[ \frac{7^3}{25^{-4}} = 7^3 \cdot 25^4 \]

Thus, the equivalent expression with only positive exponents is:

\[ 7^3 \cdot 25^4 \]

So, the final answer is:

\[ 7^3 \cdot 25^4 \]