(1/4:9/32-10/9.2/5).³ raiz 81/256 pvf me ajudem
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Olá.
![\mathsf{\left(\dfrac{1}{4}:\dfrac{9}{32}-\dfrac{10}{9}\cdot\dfrac{2}{5}\right)^3\cdot\sqrt{\dfrac{81}{256}}=}\\\\\\
\mathsf{\left(\dfrac{1}{4}\cdot\dfrac{32}{9}-\dfrac{10\cdot2}{9\cdot5}\right)^3\cdot\dfrac{9}{16}=}\\\\\\
\mathsf{\left(\dfrac{1\cdot32}{4\cdot9}-\dfrac{20}{45}\right)^3\cdot\dfrac{9}{16}=}\\\\\\
\mathsf{\left(\dfrac{32}{36}-\dfrac{20}{45}\right)^3\cdot\dfrac{9}{16}=}\\\\\\
\mathsf{\left(\dfrac{45\cdot32-36\cdot20}{36\cdot45}\right)^3\cdot\dfrac{9}{16}=} \mathsf{\left(\dfrac{1}{4}:\dfrac{9}{32}-\dfrac{10}{9}\cdot\dfrac{2}{5}\right)^3\cdot\sqrt{\dfrac{81}{256}}=}\\\\\\
\mathsf{\left(\dfrac{1}{4}\cdot\dfrac{32}{9}-\dfrac{10\cdot2}{9\cdot5}\right)^3\cdot\dfrac{9}{16}=}\\\\\\
\mathsf{\left(\dfrac{1\cdot32}{4\cdot9}-\dfrac{20}{45}\right)^3\cdot\dfrac{9}{16}=}\\\\\\
\mathsf{\left(\dfrac{32}{36}-\dfrac{20}{45}\right)^3\cdot\dfrac{9}{16}=}\\\\\\
\mathsf{\left(\dfrac{45\cdot32-36\cdot20}{36\cdot45}\right)^3\cdot\dfrac{9}{16}=}](https://tex.z-dn.net/?f=%5Cmathsf%7B%5Cleft%28%5Cdfrac%7B1%7D%7B4%7D%3A%5Cdfrac%7B9%7D%7B32%7D-%5Cdfrac%7B10%7D%7B9%7D%5Ccdot%5Cdfrac%7B2%7D%7B5%7D%5Cright%29%5E3%5Ccdot%5Csqrt%7B%5Cdfrac%7B81%7D%7B256%7D%7D%3D%7D%5C%5C%5C%5C%5C%5C%0A%5Cmathsf%7B%5Cleft%28%5Cdfrac%7B1%7D%7B4%7D%5Ccdot%5Cdfrac%7B32%7D%7B9%7D-%5Cdfrac%7B10%5Ccdot2%7D%7B9%5Ccdot5%7D%5Cright%29%5E3%5Ccdot%5Cdfrac%7B9%7D%7B16%7D%3D%7D%5C%5C%5C%5C%5C%5C%0A%5Cmathsf%7B%5Cleft%28%5Cdfrac%7B1%5Ccdot32%7D%7B4%5Ccdot9%7D-%5Cdfrac%7B20%7D%7B45%7D%5Cright%29%5E3%5Ccdot%5Cdfrac%7B9%7D%7B16%7D%3D%7D%5C%5C%5C%5C%5C%5C%0A%5Cmathsf%7B%5Cleft%28%5Cdfrac%7B32%7D%7B36%7D-%5Cdfrac%7B20%7D%7B45%7D%5Cright%29%5E3%5Ccdot%5Cdfrac%7B9%7D%7B16%7D%3D%7D%5C%5C%5C%5C%5C%5C%0A%5Cmathsf%7B%5Cleft%28%5Cdfrac%7B45%5Ccdot32-36%5Ccdot20%7D%7B36%5Ccdot45%7D%5Cright%29%5E3%5Ccdot%5Cdfrac%7B9%7D%7B16%7D%3D%7D)
![\mathsf{\left(\dfrac{1.440-720}{1.620}\right)^3\cdot\dfrac{9}{16}=}\\\\\\
\mathsf{\left(\dfrac{720}{1.620}\right)^3\cdot\dfrac{9}{16}=}\\\\\\
\mathsf{\left(\left[\dfrac{720}{1.620}\right]^{:180}\right)^3\cdot\dfrac{9}{16}=}\\\\\\
\mathsf{\left(\dfrac{4}{9}\right)^3\cdot\dfrac{9}{16}=}\\\\\\\textsf{Igualando~pra~"cortar"...}\\\\
\mathsf{\dfrac{4^3}{9^3}\cdot\dfrac{9^1}{4^2}=}\\\\\\
\mathsf{\dfrac{4^3\cdot9^1}{9^3\cdot4^2}=}\\\\\\
\mathsf{\dfrac{4^1\cdot1}{9^2\cdot1}=}\\\\\\
\mathsf{\dfrac{4}{81}}\\\\\mathsf{0,049383...} \mathsf{\left(\dfrac{1.440-720}{1.620}\right)^3\cdot\dfrac{9}{16}=}\\\\\\
\mathsf{\left(\dfrac{720}{1.620}\right)^3\cdot\dfrac{9}{16}=}\\\\\\
\mathsf{\left(\left[\dfrac{720}{1.620}\right]^{:180}\right)^3\cdot\dfrac{9}{16}=}\\\\\\
\mathsf{\left(\dfrac{4}{9}\right)^3\cdot\dfrac{9}{16}=}\\\\\\\textsf{Igualando~pra~"cortar"...}\\\\
\mathsf{\dfrac{4^3}{9^3}\cdot\dfrac{9^1}{4^2}=}\\\\\\
\mathsf{\dfrac{4^3\cdot9^1}{9^3\cdot4^2}=}\\\\\\
\mathsf{\dfrac{4^1\cdot1}{9^2\cdot1}=}\\\\\\
\mathsf{\dfrac{4}{81}}\\\\\mathsf{0,049383...}](https://tex.z-dn.net/?f=%5Cmathsf%7B%5Cleft%28%5Cdfrac%7B1.440-720%7D%7B1.620%7D%5Cright%29%5E3%5Ccdot%5Cdfrac%7B9%7D%7B16%7D%3D%7D%5C%5C%5C%5C%5C%5C%0A%5Cmathsf%7B%5Cleft%28%5Cdfrac%7B720%7D%7B1.620%7D%5Cright%29%5E3%5Ccdot%5Cdfrac%7B9%7D%7B16%7D%3D%7D%5C%5C%5C%5C%5C%5C%0A%5Cmathsf%7B%5Cleft%28%5Cleft%5B%5Cdfrac%7B720%7D%7B1.620%7D%5Cright%5D%5E%7B%3A180%7D%5Cright%29%5E3%5Ccdot%5Cdfrac%7B9%7D%7B16%7D%3D%7D%5C%5C%5C%5C%5C%5C%0A%5Cmathsf%7B%5Cleft%28%5Cdfrac%7B4%7D%7B9%7D%5Cright%29%5E3%5Ccdot%5Cdfrac%7B9%7D%7B16%7D%3D%7D%5C%5C%5C%5C%5C%5C%5Ctextsf%7BIgualando%7Epra%7E%22cortar%22...%7D%5C%5C%5C%5C%0A%5Cmathsf%7B%5Cdfrac%7B4%5E3%7D%7B9%5E3%7D%5Ccdot%5Cdfrac%7B9%5E1%7D%7B4%5E2%7D%3D%7D%5C%5C%5C%5C%5C%5C%0A%5Cmathsf%7B%5Cdfrac%7B4%5E3%5Ccdot9%5E1%7D%7B9%5E3%5Ccdot4%5E2%7D%3D%7D%5C%5C%5C%5C%5C%5C%0A%5Cmathsf%7B%5Cdfrac%7B4%5E1%5Ccdot1%7D%7B9%5E2%5Ccdot1%7D%3D%7D%5C%5C%5C%5C%5C%5C%0A%5Cmathsf%7B%5Cdfrac%7B4%7D%7B81%7D%7D%5C%5C%5C%5C%5Cmathsf%7B0%2C049383...%7D)
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