\(\frac{8^7.15^7}{4^7.50^7}\)
\(=\left(\frac{8.15}{4.50}\right)^7\)
\(=\left(\frac{2^3.3.5}{2^3.5^2}\right)^7\)
\(=\left(\frac{3}{5}\right)^7\)
\(=\frac{3^7}{5^7}\)
=(2^3)^7.(3.5)^7/(2^2)^7.(2.5^2)^7
=2^21.3^7.5^7/2^14.2^7.5^14
=3^7/5^7
=(3/5)^7
\(\frac{8^7.15^7}{4^7.50^7}=\frac{\left(2^3\right)^7.3^7.5^7}{\left(2^2\right)^7.2^7.\left(5^2\right)^7}=\frac{2^{21}.3^7.5^7}{2^{14}.2^7.5^{14}}=\frac{2^{21}.3^7.5^7}{2^{21}.5^{14}}=\frac{3^7}{5^7}=\frac{2187}{78125}\)
\(\frac{8^7.15^7}{4^7.50^7}\)=\(\frac{\left(2^3\right)^7.\left(3.5\right)^7}{\left(2^2\right)^7.\left(2.5^2\right)^7}\)=\(\frac{2^{21}.3^7.5^7}{2^{14}.2^7.5^{14}}\)=\(\frac{3^7}{5^7}\)=\(\left(\frac{3}{5}\right)^7\)
\(\text{Theo đề ta có:}\)
\(\frac{8^7\cdot15^7}{4^7\cdot50^7}\)
\(=\frac{4^7\cdot2^7\cdot15^7}{4^7\cdot50^7}=\frac{2^7\cdot15^7}{50^7}\)
\(=\frac{2^7\cdot15^7}{2^7\cdot25^7}=\frac{15^7}{25^7}\)
\(=\frac{3^7\cdot5^7}{5^7\cdot5^7}=\frac{3^7}{5^7}\)
\(\text{ Bộ bài kêu rút gọn hả bạn ?}\)
