Question

Помогите решить 58 59 с фото

Answer 1

$1)quad frac{(5^{1-5n})^2cdot (4^{2n+1})^3cdot (2,5)^{11n}}{160}=frac{5^{2-10n}cdot 4^{6n+3}cdot 5^{11n}}{2^{11n}cdot 160}=\\=frac{25cdot 4^{6n}cdot 64cdot 5^{11n}}{5^{10n}2^{11n}cdot 160} = frac{10cdot 2^{12n}cdot 5^{11n}}{5^{10n}cdot 2^{11n}}=10cdot 2^{n}cdot 5^{n}=10cdot 10^{n}=10^{n+1}$$2)quad frac{(3cdot 3^{n})^{3n}}{(9^{n})^2} :27^{n^2-n}= frac{3^{3n}cdot 3^{3n^2}}{3^{4n}}cdot frac{1}{3^{3n^2-3n}} = frac{3^{3n+3n^2}}{3^{3n^2+n}} =\\=3^{3n+3n^2-(3n^2+n)}=3^{2n}=9^{n}$