Mcdonald Peters
03/20/2024 · Middle School
Rewrite the expression without using a negative exponent. \( \frac{1}{2 p^{-2}} \) Simplify your answer as much as possible.
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Step-by-step Solution
To rewrite the expression \( \frac{1}{2 p^{-2}} \) without using a negative exponent, we can first recognize that \( p^{-2} \) can be rewritten as \( \frac{1}{p^2} \).
Thus, we have:
\[
\frac{1}{2 p^{-2}} = \frac{1}{2 \cdot \frac{1}{p^2}} = \frac{1}{\frac{2}{p^2}} = \frac{p^2}{2}
\]
So, the expression simplified without using a negative exponent is:
\[
\frac{p^2}{2}
\]
Quick Answer
\(\frac{p^2}{2}\)
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