[tex]zad.5\\ \\ \sqrt[3]{\sqrt{5} } =\sqrt[3]{5^{\frac{1}{2} } } =5^{\frac{1}{2} \cdot \frac{1}{3} } =5^{\frac{1}{6} } \\ \\ \\ Odp:~~A.~~5^{\frac{1}{6} }[/tex]
[tex]zad.4\\ \\ \sqrt[n]{x^{m} } =x^{m \cdot \frac{1}{n} }\\ \\ \sqrt[n]{(x^{m} )^{p} } =x^{m\cdot p\cdot \frac{1}{n} } \\ \\ \sqrt[n]{x} =x^{\frac{1}{n} } \\ \\ (x^{m} )^{p} =x^{m\cdot p} ~~~~~~~~z~~tych~~wzorow~~korzystam~~rozwiazujac~~zadanie\\ \\ \sqrt{(5^{3} )^{2} } =5^{3\cdot 2\cdot \frac{1}{2} } =5^{3} =125\\ \\ \sqrt{(0,1^{2} )^{3} } =5^{2\cdot 3\cdot \frac{1}{2} }=0,1^{3} =0,001\\ \\ \sqrt{11^{4} } =11^{4\cdot \frac{1}{2} } =11^{2} =121\\ \\ \sqrt{2^{10} } =2^{10\cdot \frac{1}{2} } =2^{5} =32\\ \\ [/tex]
[tex]\sqrt[3]{(7^{2} )^{3} } =7^{2\cdot 3\cdot \frac{1}{3} }=7^{2} =49\\ \\ \sqrt[3]{9^{6} } =9^{6\cdot \frac{1}{3} } =9^{2} =81\\ \\ \sqrt[3]{2^{12} } =2^{12\cdot \frac{1}{3} }=2^{4} =16[/tex]