Question

решить пример (0.008^-8)^2*(0.2^-23)^2

Answer 1

$tt(0.008^{-8})^2cdot(0.2^{-23})^2=(0.008)^{-16}cdot(0.2)^{-46}=bigg(cfrac{8}{1000} bigg)^{-16}cdotbigg(cfrac{2}{10} bigg)^{-46}=\\\=bigg(cfrac{1000}{8} bigg)^{16}cdotbigg(cfrac{10}{2} bigg)^{46}=125^{16}cdot5^{46}=(5^3)^{16}cdot5^{46}=5^{48}cdot5^{46}=5^{94}$