Question

вычислите (1 24/25 )^8 5^19/7^16

Answer 1

$(1frac{24}{25})^{8}*frac{5^{19}}{7^{16}}=(frac{49}{25})^8* frac{5^{19}}{ 7^{16}}=(frac{7}{5})^{16} * frac{5^{19} }{7^{16} } =( frac{5}{7})^{-16} * frac{5^{19} }{7^{16} } = frac{5^{-16+19} }{7^{-16+16} } = 125$