Answer::
[tex]\frac{x^{-7}}{x^{-3}}[/tex]
Explanation:
Given the expression:
[tex]x^{-4}[/tex]
We want to find an expression that simplifies to the given expression.
Consider the expression below:
[tex]\frac{x^{-7}}{x^{-3}}[/tex]
Applying the division law of indices:
[tex]\frac{x^a}{x^b}=x^{a-b}[/tex]
Therefore:
[tex]\frac{x^{-7}}{x^{-3}}=x^{-7-(-3)}=x^{-7+3}=x^{-4}[/tex]
An expression that simplifies to the given expression is:
[tex]\frac{x^{-7}}{x^{-3}}[/tex]
