Question
\( 4 x^{-1}=\square \) (Simplify your answer.)
Ask by Mathis Zimmerman. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\[
\frac{4}{x}
\]
Solution
To simplify the expression \( 4 x^{-1} \):
1. Recall that \( x^{-1} \) is equivalent to \( \frac{1}{x} \).
2. Substitute \( x^{-1} \) with \( \frac{1}{x} \):
\[
4 x^{-1} = 4 \times \frac{1}{x} = \frac{4}{x}
\]
**Simplified Answer:**
\[
\frac{4}{x}
\]
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Extra Insights
The expression \( 4 x^{-1} \) can be simplified by recalling that \( x^{-1} \) is equivalent to \( \frac{1}{x} \). Therefore, we can rewrite the expression as \( 4 \cdot \frac{1}{x} \), which simplifies to \( \frac{4}{x} \). So, the answer is \( \frac{4}{x} \). Now, it's important to note that \( x \) cannot be zero since division by zero is undefined! Always keep that in mind when working with equations involving variables.