Jika nilai a = 8, b = 81, c = 25, maka hasil 
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Takamori37
![a^{-\frac{2}{3}}b^{-\frac{1}{4}}c^{\frac{1}{2}}=\displaystyle \frac{c^{\frac{1}{2}}}{a^{2/3}b^{1/4}}=\frac{\sqrt{c}}{\sqrt[3]{a^2}\times \sqrt[4]{b}} \\\\ \frac{\sqrt{25}}{\sqrt[3]{8^2}\times \sqrt[4]{81}}=\frac{5}{2^2\times 3}=\frac{5}{4\times 3}=\frac{5}{12}](https://tex.z-dn.net/?f=a%5E%7B-%5Cfrac%7B2%7D%7B3%7D%7Db%5E%7B-%5Cfrac%7B1%7D%7B4%7D%7Dc%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%3D%5Cdisplaystyle+%5Cfrac%7Bc%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%7D%7Ba%5E%7B2%2F3%7Db%5E%7B1%2F4%7D%7D%3D%5Cfrac%7B%5Csqrt%7Bc%7D%7D%7B%5Csqrt%5B3%5D%7Ba%5E2%7D%5Ctimes+%5Csqrt%5B4%5D%7Bb%7D%7D+%5C%5C%5C%5C+%5Cfrac%7B%5Csqrt%7B25%7D%7D%7B%5Csqrt%5B3%5D%7B8%5E2%7D%5Ctimes+%5Csqrt%5B4%5D%7B81%7D%7D%3D%5Cfrac%7B5%7D%7B2%5E2%5Ctimes+3%7D%3D%5Cfrac%7B5%7D%7B4%5Ctimes+3%7D%3D%5Cfrac%7B5%7D%7B12%7D "a^{-\frac{2}{3}}b^{-\frac{1}{4}}c^{\frac{1}{2}}=\displaystyle \frac{c^{\frac{1}{2}}}{a^{2/3}b^{1/4}}=\frac{\sqrt{c}}{\sqrt[3]{a^2}\times \sqrt[4]{b}} \\\\ \frac{\sqrt{25}}{\sqrt[3]{8^2}\times \sqrt[4]{81}}=\frac{5}{2^2\times 3}=\frac{5}{4\times 3}=\frac{5}{12}")
2 votes
Thanks 1
MicoArrafi
![a^{-\frac{2}{3}}b^{-\frac{1}{4}}c^{\frac{1}{2}}~~=\displaystyle \frac{c^{\frac{1}{2}}}{a^{\frac{2}{3}}b^{\frac{1}{4}}}=\frac{\sqrt{c}}{\sqrt[3]{a^2}\times \sqrt[4]{b}} \\\\\\ \frac{\sqrt{25}}{\sqrt[3]{8^2}\times \sqrt[4]{81}}=\frac{5}{2^2\times 3}=\frac{5}{4\times 3}=\boxed{\frac{5}{12} }](https://tex.z-dn.net/?f=a%5E%7B-%5Cfrac%7B2%7D%7B3%7D%7Db%5E%7B-%5Cfrac%7B1%7D%7B4%7D%7Dc%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%7E%7E%3D%5Cdisplaystyle+%5Cfrac%7Bc%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%7D%7Ba%5E%7B%5Cfrac%7B2%7D%7B3%7D%7Db%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%7D%3D%5Cfrac%7B%5Csqrt%7Bc%7D%7D%7B%5Csqrt%5B3%5D%7Ba%5E2%7D%5Ctimes+%5Csqrt%5B4%5D%7Bb%7D%7D+%5C%5C%5C%5C%5C%5C+%5Cfrac%7B%5Csqrt%7B25%7D%7D%7B%5Csqrt%5B3%5D%7B8%5E2%7D%5Ctimes+%5Csqrt%5B4%5D%7B81%7D%7D%3D%5Cfrac%7B5%7D%7B2%5E2%5Ctimes+3%7D%3D%5Cfrac%7B5%7D%7B4%5Ctimes+3%7D%3D%5Cboxed%7B%5Cfrac%7B5%7D%7B12%7D+%7D "a^{-\frac{2}{3}}b^{-\frac{1}{4}}c^{\frac{1}{2}}~~=\displaystyle \frac{c^{\frac{1}{2}}}{a^{\frac{2}{3}}b^{\frac{1}{4}}}=\frac{\sqrt{c}}{\sqrt[3]{a^2}\times \sqrt[4]{b}} \\\\\\ \frac{\sqrt{25}}{\sqrt[3]{8^2}\times \sqrt[4]{81}}=\frac{5}{2^2\times 3}=\frac{5}{4\times 3}=\boxed{\frac{5}{12} }")
1 votes
Thanks 0
