Rozwiaz zadania z obrazka
Zad. 4
a)
b)
c)
d)
Zadanie 5
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Zad. 4
a)
b)![4\sqrt{2*\sqrt[3]{2}}=2^2*2^{\frac{1}{2}}*2^{\frac{1}{6}}=2^{2+\frac{1}{2}+\frac{1}{6}}=2^{\frac{16}{6}}=2^{\frac{8}{3}} 4\sqrt{2*\sqrt[3]{2}}=2^2*2^{\frac{1}{2}}*2^{\frac{1}{6}}=2^{2+\frac{1}{2}+\frac{1}{6}}=2^{\frac{16}{6}}=2^{\frac{8}{3}}](https://tex.z-dn.net/?f=4%5Csqrt%7B2%2A%5Csqrt%5B3%5D%7B2%7D%7D%3D2%5E2%2A2%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%2A2%5E%7B%5Cfrac%7B1%7D%7B6%7D%7D%3D2%5E%7B2%2B%5Cfrac%7B1%7D%7B2%7D%2B%5Cfrac%7B1%7D%7B6%7D%7D%3D2%5E%7B%5Cfrac%7B16%7D%7B6%7D%7D%3D2%5E%7B%5Cfrac%7B8%7D%7B3%7D%7D)
c)![\sqrt[4]{\sqrt[3]{3}}*\sqrt{3*\sqrt{3}}=3^{\frac{1}{12}}*3^{\frac{1}{2}}*3^{\frac{1}{4}}=3^{\frac{1}{12}+\frac{1}{2}+\frac{1}{4}}=3^{\frac{10}{12}}=3^{\frac{5}{6}} \sqrt[4]{\sqrt[3]{3}}*\sqrt{3*\sqrt{3}}=3^{\frac{1}{12}}*3^{\frac{1}{2}}*3^{\frac{1}{4}}=3^{\frac{1}{12}+\frac{1}{2}+\frac{1}{4}}=3^{\frac{10}{12}}=3^{\frac{5}{6}}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B%5Csqrt%5B3%5D%7B3%7D%7D%2A%5Csqrt%7B3%2A%5Csqrt%7B3%7D%7D%3D3%5E%7B%5Cfrac%7B1%7D%7B12%7D%7D%2A3%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%2A3%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%3D3%5E%7B%5Cfrac%7B1%7D%7B12%7D%2B%5Cfrac%7B1%7D%7B2%7D%2B%5Cfrac%7B1%7D%7B4%7D%7D%3D3%5E%7B%5Cfrac%7B10%7D%7B12%7D%7D%3D3%5E%7B%5Cfrac%7B5%7D%7B6%7D%7D)
d)
Zadanie 5