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Explain Why xkk=x\sqrt[k]{\mathrm{x}^{\mathrm{k}}}=|\mathrm{x}| When k\mathrm{k} Is Even But xkk=x\sqrt[k]{\mathrm{x}^{\mathrm{k}}}=\mathrm{x} When k\mathrm{k} Is Odd

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Explain why xkk=x\sqrt[k]{\mathrm{x}^{\mathrm{k}}}=|\mathrm{x}| when k\mathrm{k} is even but xkk=x\sqrt[k]{\mathrm{x}^{\mathrm{k}}}=\mathrm{x} when k\mathrm{k} is odd.

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When blured image is even, blured image represents a nonnegative...

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