Hasil dari (akar23pangkat3) -1/3 - (4akar16pangkat3) -1/3
Abqori241
![$\begin{align} (\sqrt{23^3})^{ - \frac{1}{3} } - (4\sqrt{16^3})^{- \frac{1}{3} }&= \sqrt{23^{-1}} - 4{- \frac{1}{3} \sqrt{16^{-1}} } \\ &= \frac{1}{ \sqrt{23} } - \frac{1}{4^{ \frac{1}{3} } \sqrt{16} } \\ &= \frac{1}{ \sqrt{23} } - \frac{1}{4^{ \frac{1}{3} } . 4^2} \\ &= \frac{1}{ \sqrt{23} } - \frac{1}{4 ^{\frac{7}{3}} } \\ &= \frac{1}{ \sqrt{23} } - \frac{1}{\sqrt[3]{4^7}} \end{align}](https://tex.z-dn.net/?f=%24%5Cbegin%7Balign%7D++%28%5Csqrt%7B23%5E3%7D%29%5E%7B+-+%5Cfrac%7B1%7D%7B3%7D+%7D+-+%284%5Csqrt%7B16%5E3%7D%29%5E%7B-+%5Cfrac%7B1%7D%7B3%7D+%7D%26%3D++%5Csqrt%7B23%5E%7B-1%7D%7D+-+4%7B-+%5Cfrac%7B1%7D%7B3%7D++%5Csqrt%7B16%5E%7B-1%7D%7D+%7D+%5C%5C+%26%3D++%5Cfrac%7B1%7D%7B+%5Csqrt%7B23%7D+%7D+-++%5Cfrac%7B1%7D%7B4%5E%7B+%5Cfrac%7B1%7D%7B3%7D+%7D+%5Csqrt%7B16%7D+%7D+%5C%5C+%26%3D++%5Cfrac%7B1%7D%7B+%5Csqrt%7B23%7D+%7D+-++%5Cfrac%7B1%7D%7B4%5E%7B+%5Cfrac%7B1%7D%7B3%7D+%7D+.+4%5E2%7D+%5C%5C+%26%3D++%5Cfrac%7B1%7D%7B+%5Csqrt%7B23%7D+%7D+-++%5Cfrac%7B1%7D%7B4+%5E%7B%5Cfrac%7B7%7D%7B3%7D%7D+%7D+%5C%5C+%26%3D++%5Cfrac%7B1%7D%7B+%5Csqrt%7B23%7D+%7D+-++%5Cfrac%7B1%7D%7B%5Csqrt%5B3%5D%7B4%5E7%7D%7D++++++++%5Cend%7Balign%7D "$\begin{align} (\sqrt{23^3})^{ - \frac{1}{3} } - (4\sqrt{16^3})^{- \frac{1}{3} }&= \sqrt{23^{-1}} - 4{- \frac{1}{3} \sqrt{16^{-1}} } \\ &= \frac{1}{ \sqrt{23} } - \frac{1}{4^{ \frac{1}{3} } \sqrt{16} } \\ &= \frac{1}{ \sqrt{23} } - \frac{1}{4^{ \frac{1}{3} } . 4^2} \\ &= \frac{1}{ \sqrt{23} } - \frac{1}{4 ^{\frac{7}{3}} } \\ &= \frac{1}{ \sqrt{23} } - \frac{1}{\sqrt[3]{4^7}} \end{align}")
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