Potęgi i logarytm
Potęgi i logarytm – video lekcja
Zadania – oblicz:
\[
\textbf{1.}\quad \left(\sqrt{\,2-\sqrt{3}\,}-\sqrt{\,2+\sqrt{3}\,}\right)^{2}
\]
\[
\textbf{2.}\quad \left(\left(2^{0.5}-1\right)^{0.5}+\left(2^{0.5}+1\right)^{0.5}\right)^{2}
\]
\[
\textbf{3.}\quad
\frac{\log\sqrt{128}+\log\left(32^{\frac13}\right)}{\log\left(2\sqrt{2}\right)}
\]
\[
\textbf{4.}\quad
\sqrt[3]{0{,}375}\cdot\sqrt[3]{9}+\left(3^{-1}-\sqrt[4]{\frac{16}{81}}\right)^{-2}
\]
\[
\textbf{5.}\quad
\frac{\,9^{-0.25}\cdot\left(\frac{1}{3}\right)^{-0.75}:\sqrt[6]{27}\,}{\,3^{-\frac{2}{3}}\cdot 9^{-\frac{1}{3}}\cdot 81^{\frac{1}{6}}\,}
\]
