To simplify the expression \( x^{-4}y^3 \), we can apply the properties of exponents. The term \( x^{-4} \) can be rewritten as \( \frac{1}{x^4} \). Therefore, the expression becomes:
\[ x^{-4}y^3 = \frac{y^3}{x^4} \]
Thus, the simplified form of the expression is:
\[ \frac{y^3}{x^4} \]
The corresponding response is:
y^3/x^4 (the fraction with numerator y cubed and denominator x to the 4th power).