[tex]49^{\frac{1}{2} } =\sqrt[2]{49} =\sqrt[2]{7^{2} } =7\\lub\\49^{\frac{1}{2} } =(7^{2} )^{\frac{1}{2} } =7^{2\cdot \frac{1}{2} } =7\\\\\\8^{\frac{1}{3} } =\sqrt[3]{8} =\sqrt[2]{2^{3} } =2\\lub\\8^{\frac{1}{3} } =(2^{3} )^{\frac{1}{3} } =2^{3\cdot \frac{1}{3} } =2\\\\\\0,0016^{\frac{1}{4} } =((0,2)^{4} )^{\frac{1}{4} } =(0,2)^{4\cdot \frac{1}{4} } =0,2\\\\(\dfrac{1}{128} )^{\frac{1}{7} } =((\dfrac{1}{2} )^{7} )^{\frac{1}{7} } =(\dfrac{1}{2} )^{7\cdot \frac{1}{7} }=\dfrac{1}{2} =0,5\\\\[/tex]
[tex]0,00001^{\frac{1}{5} } =((0,1)^{5} ^{\frac{1}{5} } =(0,1)^{5\cdot \frac{1}{5} } =0,1[/tex]
korzystam ze wzorów:
[tex]x^{\frac{1}{n} } =\sqrt[n]{x} \\\\(x^{n} )^{m} =x^{n\cdot m}[/tex]
