Question
Write the following expression without negative exponents and without parentheses. \[ -6 x^{-2} \]
Ask by Rodriquez Ortiz. in the United States
Jan 22,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\[
-6\, /\, x^{2}
\]
Solution
To rewrite the expression \(-6 x^{-2}\) without negative exponents and without parentheses, follow these steps:
1. **Eliminate the Negative Exponent:**
\[
x^{-2} = \frac{1}{x^2}
\]
2. **Substitute Back into the Original Expression:**
\[
-6 x^{-2} = -6 \cdot \frac{1}{x^2} = \frac{-6}{x^2}
\]
So, the expression without negative exponents and without parentheses is:
\[
\frac{-6}{x^2}
\]
**Final Answer:**
\[
-6\, /\, x^{2}
\]
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Mind Expander
To rewrite the expression without negative exponents, remember that a negative exponent indicates the reciprocal. Thus, \( x^{-2} \) can be rewritten as \( \frac{1}{x^2} \). This transforms the expression as follows: \[ -6 x^{-2} = -6 \cdot \frac{1}{x^2} = \frac{-6}{x^2} \] So the final expression is: \[ \frac{-6}{x^2} \]
