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Olá!
![\big[4,44:(-2,22):(-1,6) \big]^3 + \sqrt{1,69} \\ \\ = \big[ (-2): \big(-\frac{16}{10} \big) \big]^3 + \sqrt{ \frac{169}{100} } \\ \\ = \big[(-2): \big(- \frac{8}{5} \big) \big]^3 + \frac{13}{10} \\ \\ = \big[ (-2) \cdot \big(- \frac{5}{8} \big)^3 \big] + \frac{13}{10} \\ \\ = \Big( \frac{10}{8} \Big)^3 + \frac{13}{10} \\ \\ = \Big(\frac{5}{4} \Big)^3 + \frac{13}{10} \\ \\ = \frac{125}{64} + \frac{13}{10} \\ \: \: \: \: \: (5) \: \: \: \: \: \: (32) \\ \\ = \frac{625 + 416}{320} \\ \\ = \frac{1041}{320}](https://tex.z-dn.net/?f=+%5Cbig%5B4%2C44%3A%28-2%2C22%29%3A%28-1%2C6%29+%5Cbig%5D%5E3+%2B+%5Csqrt%7B1%2C69%7D+%5C%5C+%5C%5C+%3D+%5Cbig%5B+%28-2%29%3A+%5Cbig%28-%5Cfrac%7B16%7D%7B10%7D+%5Cbig%29+%5Cbig%5D%5E3+%2B+%5Csqrt%7B+%5Cfrac%7B169%7D%7B100%7D+%7D+%5C%5C+%5C%5C+%3D+%5Cbig%5B%28-2%29%3A+%5Cbig%28-+%5Cfrac%7B8%7D%7B5%7D+%5Cbig%29+%5Cbig%5D%5E3+%2B+%5Cfrac%7B13%7D%7B10%7D+%5C%5C+%5C%5C+%3D+%5Cbig%5B+%28-2%29+%5Ccdot+%5Cbig%28-+%5Cfrac%7B5%7D%7B8%7D+%5Cbig%29%5E3+%5Cbig%5D+%2B+%5Cfrac%7B13%7D%7B10%7D+%5C%5C+%5C%5C+%3D+%5CBig%28+%5Cfrac%7B10%7D%7B8%7D+%5CBig%29%5E3+%2B+%5Cfrac%7B13%7D%7B10%7D+%5C%5C+%5C%5C+%3D+%5CBig%28%5Cfrac%7B5%7D%7B4%7D+%5CBig%29%5E3+%2B+%5Cfrac%7B13%7D%7B10%7D+%5C%5C+%5C%5C++%3D+%5Cfrac%7B125%7D%7B64%7D+%2B+%5Cfrac%7B13%7D%7B10%7D+%5C%5C+%5C%3A+%5C%3A+%5C%3A+%5C%3A+%5C%3A+%285%29+%5C%3A+%5C%3A+%5C%3A+%5C%3A+%5C%3A+%5C%3A+%2832%29+%5C%5C+%5C%5C+%3D+%5Cfrac%7B625+%2B+416%7D%7B320%7D+%5C%5C+%5C%5C+%3D+%5Cfrac%7B1041%7D%7B320%7D+ "\big[4,44:(-2,22):(-1,6) \big]^3 + \sqrt{1,69} \\ \\ = \big[ (-2): \big(-\frac{16}{10} \big) \big]^3 + \sqrt{ \frac{169}{100} } \\ \\ = \big[(-2): \big(- \frac{8}{5} \big) \big]^3 + \frac{13}{10} \\ \\ = \big[ (-2) \cdot \big(- \frac{5}{8} \big)^3 \big] + \frac{13}{10} \\ \\ = \Big( \frac{10}{8} \Big)^3 + \frac{13}{10} \\ \\ = \Big(\frac{5}{4} \Big)^3 + \frac{13}{10} \\ \\ = \frac{125}{64} + \frac{13}{10} \\ \: \: \: \: \: (5) \: \: \: \: \: \: (32) \\ \\ = \frac{625 + 416}{320} \\ \\ = \frac{1041}{320}")
Bons estudos!
Bons estudos!
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