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SIMPLIFY \( \left(x^{2} y^{-2}\right)^{-1} \)

Ask by Perkins Alexander. in Australia
Feb 20,2025

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\( \frac{y^{2}}{x^{2}} \)

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To simplify \( \left(x^{2} y^{-2}\right)^{-1} \), we apply the rule that states \( (a^m)^{-n} = a^{-m} \). Thus, we can distribute the exponent -1 across the terms inside the parentheses: \[ \left(x^{2} y^{-2}\right)^{-1} = x^{-2} y^{2} \] Rearranging to a more conventional form, we can express this as: \[ \frac{y^{2}}{x^{2}} \] And that's the simplified version!

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