Bài 34:
a) \(x:\left(-\frac{3}{5}\right)^{10}=\left(-\frac{3}{5}\right)^{11}\)
\(x=\left(-\frac{3}{5}\right)^{11}\cdot \left(-\frac{3}{5}\right)^{10}\)
\(x=\left(-\frac{3}{5}\right)^{21}\)
b) \(x.\left(-\frac{4}{3}\right)^{20}=\left(-\frac{4}{3}\right)^{23}\)
\(x=\left(-\frac{4}{3}\right)^{23}:\left(-\frac{4}{3}\right)^{20}\)
\(x=\left(-\frac{4}{3}\right)^{3}\)
c) \(\left(\frac{5}{7}\right)^{2022}:\left(x-1\right)=\left(\frac{5}{7}\right)^{2021}\)
\(\left(x-1\right)=\left(\frac{5}{7}\right)^{2022}:\left(\frac{5}{7}\right)^{2021}\)
\(x-1=\frac{5}{7}\)
\(x=\frac{5}{7}+1\)
\(x =\frac{12}{7}\)
d) \(\left(\frac{2}{5}\right)^9:\left(2x-3\right)=\left(\frac{8}{125}\right)^3\)
\(\left(\frac{2}{5}\right)^9:\left(2x-3\right)=\left(\left(\frac{2}{5}\right)^3\right)^3\)
\(\left(\frac{2}{5}\right)^9:\left(2x-3\right)= \left(\frac{2}{5}\right)^9\)
\(\left(2x-3\right)=\left(\frac{2}{5}\right)^9: \left(\frac{2}{5}\right)^9\)
\(2x-3 =1\)
2x = 4
x = 2