Which of the following is an equivalent expression to 7325−4 with only positive exponents, generated by applying the Property of Negative Integer Exponents?

1 answer

To simplify the expression \( 7325^{-4} \) using the Property of Negative Integer Exponents, we can rewrite it as follows:

According to the property, for any non-zero number \( a \) and integer \( n \):

\[ a^{-n} = \frac{1}{a^n} \]

Applying this to \( 7325^{-4} \):

\[ 7325^{-4} = \frac{1}{7325^4} \]

This expression \( \frac{1}{7325^4} \) is equivalent to \( 7325^{-4} \) and contains only positive exponents.

Therefore, the equivalent expression to \( 7325^{-4} \) with only positive exponents is:

\[ \frac{1}{7325^4} \]