\(\frac{20^5.5^{10}}{100^5}\)
\(=\frac{20^5.\left(5^2\right)^5}{100^5}\)
\(=\frac{20^5.25^5}{100^5}\)
\(=\frac{\left(20.25\right)^5}{100^5}\)
\(=\frac{500^5}{100^5}\)
\(=\left(\frac{500}{100}\right)^5\)
\(=5^5\)
_Chúc bạn học tốt_
\(\frac{20^5.5^{10}}{100^5}\)
\(=\frac{\left(2^2.5\right)^5.5^{10}}{2^2.5^2}\)
\(=\frac{2^{10}.5^5.5^{10}}{2^2.5^2}\)
\(=\frac{2^2.2^8.5^{15}}{2^2.5^2}\)
\(=\frac{2^8.5^2.5^{13}}{5^2}\)
\(=2^8.5^{13}\)
\(\frac{20^5\cdot5^{10}}{100^5}=\frac{20^5\cdot\left(5^2\right)^5}{100^5}=\frac{20^5\cdot25^5}{100^5}=\frac{500^5}{100^5}=5^5=3125\)