a) \(\left(\frac{3}{4}\right)^{45}:\left(\frac{9}{6}\right)^{10}\)
\(=\left(\frac{3}{4}\right)^{45}:\left(\frac{3}{4}\right)^{20}\)
\(=\left(\frac{3}{4}\right)^{25}\)
b) \(\frac{125^{100}.2^{160}}{5^{298}.4^{80}}\)
\(=\frac{5^{300}.2^{160}}{5^{298}.2^{160}}\)
\(=5^2=25\)
a) \(\left(\frac{3}{4}\right)^{45}:\left(\frac{9}{6}\right)^{10}\)
\(\Leftrightarrow\frac{\left(\frac{3}{4}\right)^{45}}{\frac{3^{10}}{2^{10}}}=\frac{\frac{3^{45}}{4^{45}}}{\frac{3^{10}}{2^{10}}}=\frac{3^{45}.2^{10}}{4^{45}}=\frac{3^{35}.2^{10}}{2^{90}}=\frac{3^{35}}{2^{80}}\)
\(\Rightarrow\left(\frac{3}{4}\right)^{45}:\left(\frac{9}{6}\right)^{10}=\frac{3^{35}}{2^{80}}\)
125100.2160/5298.480
=5300.2160/5298.2160
=52=25
k mik nha