Question
Simplify. Express your answer with positive exponents. Assume that all variables are nonzero. \( \frac{1}{\mathrm{y}^{-2}} \)
Ask by Bowers Blake. in the United States
Jan 21,2025
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Tutor-Verified Answer
Answer
\( \mathrm{y}^{2} \)
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The Deep Dive
To simplify \( \frac{1}{\mathrm{y}^{-2}} \), you can use the property of exponents that states \( \frac{1}{a^{-n}} = a^{n} \). So, applying this property, we have \( \frac{1}{\mathrm{y}^{-2}} = \mathrm{y}^{2} \). Thus, the simplified expression is \( \mathrm{y}^{2} \). Keep in mind that using positive exponents is a standard way of representing mathematical expressions, making it easier for others to read and understand your work!