1. \(\dfrac{790^4}{79^4}=\left(\dfrac{790}{79}\right)^4=10^4=10000\).
\(\left(\dfrac{4}{9}+\dfrac{1}{3}\right)^2=\left(\dfrac{4}{9}+\dfrac{3}{9}\right)^2=\left(\dfrac{7}{9}\right)^2=\dfrac{49}{81}\)
2. \(\dfrac{3^2}{\left(0,375\right)^2}=3^2:\left(\dfrac{3}{8}\right)^2=3^2.\left(\dfrac{8}{3}\right)^2=3^2.\dfrac{8^2}{3^2}=8^2=64\)
\(\left(\dfrac{1}{2}-\dfrac{3}{5}\right)^3=\left(\dfrac{5}{10}-\dfrac{6}{10}\right)^3=\left(-\dfrac{1}{10}\right)^3=-\dfrac{1}{1000}\)
1: \(\dfrac{790^4}{79^4}=10^4=10000\)
\(\left(\dfrac{4}{9}+\dfrac{1}{3}\right)^2=\left(\dfrac{7}{9}\right)^2=\dfrac{49}{81}\)
2: \(\dfrac{3^2}{\left(0.375\right)^2}=8^2=64\)
\(\left(\dfrac{1}{2}-\dfrac{3}{5}\right)^3=\left(\dfrac{5}{10}-\dfrac{6}{10}\right)^3=-\dfrac{1}{1000}\)