![[ {(8)}^{ \frac{ - 2}{3} } \times {(2)}^{ \frac{1}{2} } \times {(25)}^{ \frac{ - 5}{4} } ] \div [ {(32)}^{ \frac{ - 2}{5} } \times {(125)}^{ \frac{ - 5}{6} } ] = \sqrt{2}](https://tex.z-dn.net/?f=+%5B++%7B%288%29%7D%5E%7B+%5Cfrac%7B+-+2%7D%7B3%7D++%7D++%5Ctimes++%7B%282%29%7D%5E%7B+%5Cfrac%7B1%7D%7B2%7D+%7D+%5Ctimes++%7B%2825%29%7D%5E%7B+%5Cfrac%7B+-+5%7D%7B4%7D+%7D++%5D+%5Cdiv++%5B+%7B%2832%29%7D%5E%7B+%5Cfrac%7B+-+2%7D%7B5%7D+%7D++%5Ctimes+++%7B%28125%29%7D%5E%7B+%5Cfrac%7B+-+5%7D%7B6%7D+%7D++%5D+%3D++%5Csqrt%7B2%7D+ "[ {(8)}^{ \frac{ - 2}{3} } \times {(2)}^{ \frac{1}{2} } \times {(25)}^{ \frac{ - 5}{4} } ] \div [ {(32)}^{ \frac{ - 2}{5} } \times {(125)}^{ \frac{ - 5}{6} } ] = \sqrt{2}")
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