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Write the following expression without negative exponents and without parentheses. \[ (6 x)^{-2} \]

Ask by Washington Schofield. in the United States
Jan 22,2025

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\[ \frac{1}{36x^{2}} \]

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To rewrite the expression \( (6 x)^{-2} \) without negative exponents, we can use the rule that \( a^{-n} = \frac{1}{a^{n}} \). Applying this, we get: \[ (6 x)^{-2} = \frac{1}{(6 x)^{2}}. \] Next, we can simplify \( (6 x)^{2} \): \[ (6 x)^{2} = 6^{2} \cdot x^{2} = 36 x^{2}. \] Thus, we can rewrite the original expression as: \[ \frac{1}{36 x^{2}}. \] So, the expression without negative exponents and parentheses is: \[ \frac{1}{36 x^{2}}. \]

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