To rewrite \( 15^{-38} \) using the property of negative integer exponents, we can use the rule that states:
\[ a^{-n} = \frac{1}{a^n} \]
Applying this rule to \( 15^{-38} \):
\[ 15^{-38} = \frac{1}{15^{38}} \]
Thus, the expression with positive exponents only is:
\[ \frac{1}{15^{38}} \]