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16 = 2⁴
![frac{1}{32} = frac{1}{2^5} = (2^5)^{-1} = 2^{-5} frac{1}{32} = frac{1}{2^5} = (2^5)^{-1} = 2^{-5}](https://tex.z-dn.net/?f=+frac%7B1%7D%7B32%7D+%3D++frac%7B1%7D%7B2%5E5%7D+%3D+%282%5E5%29%5E%7B-1%7D+%3D+2%5E%7B-5%7D)
![(2 ^{-5} )^{0,1x-1} = 2^4 \ -5(0.1x-1) = 4 \ -0.5x + 5 = 4 \ -0.5x = -1 \ x=2 (2 ^{-5} )^{0,1x-1} = 2^4 \ -5(0.1x-1) = 4 \ -0.5x + 5 = 4 \ -0.5x = -1 \ x=2](https://tex.z-dn.net/?f=%282+%5E%7B-5%7D+%29%5E%7B0%2C1x-1%7D+%3D+2%5E4+%5C+-5%280.1x-1%29+%3D+4+%5C+-0.5x+%2B+5+%3D+4+%5C+-0.5x+%3D+-1+%5C+x%3D2)
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