Question
Which of the following represents the simplified version of the followi expression. You only have 3 chances, so ask for help if you need it. \( 2 x^{-2}= \)
Ask by Logan Harris. in the United States
Jan 29,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The simplified form of \( 2x^{-2} \) is \( \frac{2}{x^{2}} \).
Solution
The expression \( 2x^{-2} \) can be simplified by addressing the negative exponent.
Recall that \( x^{-n} = \frac{1}{x^n} \). Applying this rule:
\[
2x^{-2} = \frac{2}{x^{2}}
\]
**Simplified Expression:**
\[
\frac{2}{x^{2}}
\]
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Simplify this solution Extra Insights
To simplify the expression \(2x^{-2}\), we can rewrite the negative exponent as a fraction. This means \(x^{-2}\) can be converted to \(\frac{1}{x^2}\). Hence, \(2x^{-2} = 2 \cdot \frac{1}{x^2} = \frac{2}{x^2}\). So the simplified version is \(\frac{2}{x^2}\). Keep that positive energy—you're doing great! Also, if you ever feel like exponents are getting too tricky, remember that negative exponents simply mean "reciprocal". It's like a minor adjustment; think of it as flipping the fraction inside out! You're almost there; just watch those signs and you'll be unstoppable!
