(2³а⁻³)⁻¹ *64а⁻⁴ :а⁻⁵ =
Подставляем наше значение а = - 0,125 = (-2)⁻³
8*((-2)⁻³)⁴ = 8*(-2)⁻¹² =
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(2³а⁻³)⁻¹ *64а⁻⁴ :а⁻⁵ =![(\frac{8}{a^{3} })^{-1}*\frac{64}{a^{4}} :\frac{1}{a^{5}} =\frac{a^{3}}{8} *\frac{64}{a^{4}}*\frac{a^{5}}{1} =\frac{a^{3}}{8} * \frac{8*8}{a^{3}*a} *\frac{a*a^{4}}{1} = 8a^{4} (\frac{8}{a^{3} })^{-1}*\frac{64}{a^{4}} :\frac{1}{a^{5}} =\frac{a^{3}}{8} *\frac{64}{a^{4}}*\frac{a^{5}}{1} =\frac{a^{3}}{8} * \frac{8*8}{a^{3}*a} *\frac{a*a^{4}}{1} = 8a^{4}](https://tex.z-dn.net/?f=%28%5Cfrac%7B8%7D%7Ba%5E%7B3%7D%20%7D%29%5E%7B-1%7D%2A%5Cfrac%7B64%7D%7Ba%5E%7B4%7D%7D%20%20%3A%5Cfrac%7B1%7D%7Ba%5E%7B5%7D%7D%20%3D%5Cfrac%7Ba%5E%7B3%7D%7D%7B8%7D%20%2A%5Cfrac%7B64%7D%7Ba%5E%7B4%7D%7D%2A%5Cfrac%7Ba%5E%7B5%7D%7D%7B1%7D%20%3D%5Cfrac%7Ba%5E%7B3%7D%7D%7B8%7D%20%2A%20%5Cfrac%7B8%2A8%7D%7Ba%5E%7B3%7D%2Aa%7D%20%2A%5Cfrac%7Ba%2Aa%5E%7B4%7D%7D%7B1%7D%20%3D%208a%5E%7B4%7D)
Подставляем наше значение а = - 0,125 = (-2)⁻³
8*((-2)⁻³)⁴ = 8*(-2)⁻¹² =![\frac{8}{1}*(-\frac{1}{4096} ) = -\frac{1}{512} =-\frac{1}{2^{9}} = (-2)^{-9} \frac{8}{1}*(-\frac{1}{4096} ) = -\frac{1}{512} =-\frac{1}{2^{9}} = (-2)^{-9}](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B1%7D%2A%28-%5Cfrac%7B1%7D%7B4096%7D%20%29%20%3D%20%20-%5Cfrac%7B1%7D%7B512%7D%20%3D-%5Cfrac%7B1%7D%7B2%5E%7B9%7D%7D%20%3D%20%28-2%29%5E%7B-9%7D)