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1).
![({ sqrt[5]{5} })^{4} = ( { {5}^{ frac{1}{4} } })^{4} = {5}^{ frac{4}{4} } = {5}^{1} = 5 ({ sqrt[5]{5} })^{4} = ( { {5}^{ frac{1}{4} } })^{4} = {5}^{ frac{4}{4} } = {5}^{1} = 5](https://tex.z-dn.net/?f=+%28%7B+sqrt%5B5%5D%7B5%7D+%7D%29%5E%7B4%7D++%3D+%28+%7B+%7B5%7D%5E%7B+frac%7B1%7D%7B4%7D+%7D+%7D%29%5E%7B4%7D++%3D++%7B5%7D%5E%7B+frac%7B4%7D%7B4%7D+%7D++%3D++%7B5%7D%5E%7B1%7D++%3D+5)
2).
![( { sqrt[9]{ - 36} })^{9} = ( { { - 36}^{ frac{1}{9} } })^{9} = { - 36}^{ frac{9}{9} } = - {36}^{1} = - 36 ( { sqrt[9]{ - 36} })^{9} = ( { { - 36}^{ frac{1}{9} } })^{9} = { - 36}^{ frac{9}{9} } = - {36}^{1} = - 36](https://tex.z-dn.net/?f=%28+%7B+sqrt%5B9%5D%7B+-+36%7D+%7D%29%5E%7B9%7D++%3D+%28+%7B+%7B+-+36%7D%5E%7B+frac%7B1%7D%7B9%7D+%7D+%7D%29%5E%7B9%7D+++%3D+%7B+-+36%7D%5E%7B+frac%7B9%7D%7B9%7D+%7D++%3D++-++%7B36%7D%5E%7B1%7D++%3D++-+36)
3).
![({3 sqrt{9} })^{2} = ( { sqrt{ {3}^{2} times 9} })^{2} = ({ sqrt{81} })^{2} = 81 ({3 sqrt{9} })^{2} = ( { sqrt{ {3}^{2} times 9} })^{2} = ({ sqrt{81} })^{2} = 81](https://tex.z-dn.net/?f=+%28%7B3+sqrt%7B9%7D+%7D%29%5E%7B2%7D++%3D+%28+%7B+sqrt%7B+%7B3%7D%5E%7B2%7D++times+9%7D++%7D%29%5E%7B2%7D++%3D++%28%7B+sqrt%7B81%7D+%7D%29%5E%7B2%7D++%3D+81)
2).
3).
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