Suestion \[ \frac{x^{-1} \cdot x}{x^{-4}} \]

To simplify the expression \(\frac{x^{-1} \cdot x}{x^{-4}}\), start by applying the laws of exponents. First, remember that \(x^{-1} \cdot x\) is the same as \(x^{-1+1} = x^0\), which equals 1. Now, we can rewrite the expression as: \[ \frac{1}{x^{-4}} = x^{4} \] So, the simplified result of the given expression is \(x^{4}\). Now that we have simplified the expression, it’s a great reminder of how exponents work! Keep practicing to become more comfortable with these rules; they’re like magic keys to unlocking quick solutions in algebra! Also, if you're looking for additional practice problems or tutorials, there are many resources online, from interactive websites to videos, that can help reinforce these concepts! Try sites like Khan Academy or Purplemath for step-by-step explanations.