a) Ta có: \(125^5:25^3\)
\(=\frac{\left(5^3\right)^5}{\left(5^2\right)^3}=\frac{5^{15}}{5^6}=5^9\)
b) Ta có: \(27^6:9^3\)
\(=\frac{\left(3^3\right)^6}{\left(3^2\right)^3}=\frac{3^{18}}{3^6}=3^{12}\)
c) Ta có: \(4^{20}:2^{15}\)
\(=\frac{\left(2^2\right)^{20}}{2^{15}}=\frac{2^{40}}{2^{15}}=2^{25}\)
e) Ta có: \(64^4\cdot16^5\)
\(=\left(4^3\right)^4\cdot\left(4^2\right)^5\)
\(=4^{12}\cdot4^{10}=4^{22}\)
g) Ta có: \(32^4:8^6\)
\(=\frac{\left(2^5\right)^4}{\left(2^3\right)^6}=\frac{2^{20}}{2^{18}}=2^2\)