Przykład 1. Oblicz:

a) $25^{\frac{1}{2}}=\sqrt{25}=5$

b) ${\left(\frac{1}{256}\right)}^{\frac{1}{4}}=\sqrt[4]{\frac{1}{256}}=\frac{1}{4}$

c) $8^{\frac{2}{3}}=\sqrt[3]{8^2}=\sqrt[3]{64}=4$

$8^{\frac{2}{3}}={\left(\sqrt[3]{8}\right)}^2=2^2=4$

d) $49^{-\frac{1}{2}}=\frac{1}{\sqrt{49}}=\frac{1}{7}$

e) ${\left(\frac{2\sqrt{2}}{3\sqrt{3}}\right)}^{\frac{2}{3}}=\sqrt[3]{{\left(\frac{2\sqrt{2}}{3\sqrt{3}}\right)}^2}=\sqrt[3]{\frac{8}{27}}=\frac{2}{3}$