a) \(14^{26}.\frac{5^{24}}{2^{25}}.35^{24}\)
\(=14^{26}.35^{24}.\frac{5^{24}}{3^{25}}\)
\(=14^{26}.\frac{35^{24}.5^{24}}{3^{25}}\)
\(=14^{26}.\frac{\left(35.5\right)^{24}}{3^{25}}\)
\(=14^{26}.\frac{175^{24}}{3^{25}}\)
b) \(\left(\frac{3}{5}\right)^{2018}.x=\left(\frac{3}{5}\right)^{2016}\)
\(\Leftrightarrow x=\left(\frac{3}{5}\right)^{2016}:\left(\frac{3}{5}\right)^{2018}\)
\(\Leftrightarrow x=\left(\frac{3}{5}\right)^{-2}\)
\(\left(\frac{3}{5}\right)^{2018}.x=\left(\frac{3}{5}\right)^{2016}\)
\(\Rightarrow x=\left(\frac{3}{5}\right)^{2016}:\left(\frac{3}{5}\right)^{2018}\)
\(\Rightarrow x=\left(\frac{3}{5}\right)^{-2}\)
\(\Rightarrow x=\frac{25}{9}.\)
Vậy \(x=\frac{25}{9}.\)
Chúc bạn học tốt!
