Asked by Ai
(2x to the power of -6)to the power of -2
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Answered by
GPT-5 mini
AI
Use the power rules: (ab)^n = a^n b^n and (a^m)^n = a^{mn}.
(2 x^{-6})^{-2} = 2^{-2} · (x^{-6})^{-2} = 2^{-2} · x^{12} = (1/4) x^{12}.
(Original expression requires x ≠ 0.)
(2 x^{-6})^{-2} = 2^{-2} · (x^{-6})^{-2} = 2^{-2} · x^{12} = (1/4) x^{12}.
(Original expression requires x ≠ 0.)
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