\[ x^{3} \cdot x^{-5} \] Write your answer with a positive exponent only

To simplify the expression \( x^{3} \cdot x^{-5} \), you need to apply the rule of exponents that states when you multiply like bases, you add the exponents. So, \( 3 + (-5) = -2 \). This gives you \( x^{-2} \). To express this with a positive exponent, you can rewrite it as \( \frac{1}{x^{2}} \).