Question

СРОЧНО!!!!!!!!!!!!!!!!!

Answer 1

Ответ:

$\displaystyle \dfrac{(4^3)^4\cdot 3^4}{4^{10}\cdot 27^2}=\dfrac{2^{24}\cdot 3^4}{2^{20}\cdot 3^6}=\dfrac{2^4}{3^2}=\dfrac{16}{9}\\\\\\\frac{20^{20}}{5^{18}\cdot 16^9}=\frac{2^{40}\cdot 5^{20}}{5^{18}\cdot 2^{18}}=\frac{2^{22}\cdot 5^2}{1}=25\cdot 2^{22}=104\, 857\, 600\\\\\\\frac{4^{24}\cdot \Big(3^{3^3}\Big)^3}{12^{25}}=\frac{2^{48}\cdot \Big(3^9\Big)^3}{4^{25}\cdot 3^{25}}=\frac{2^{48}\cdot 3^{27}}{2^{50}\cdot 3^{25}}=\frac{3^2}{2^2}=\frac{9}{4}=2,25$

$\displaystyle \frac{(a^4)^3\cdot (a^4)^2}{a^{10}}=\frac{a^{12}\cdot a^8}{a^{10}}=\frac{a^{20}}{a^{10}}=a^{10}\\\\\\\frac{(2\cdot b^4\cdot a^3)^2}{16\cdot a^5\cdot b^9}=\frac{4\cdot b^8\cdot a^6}{16\cdot a^5\cdot b^9}=\frac{a}{4\cdot b}$