Question

Va rog ex 6 punctul b dau 100 pct

Answer 1

$b)\quad \left[\left(2^{10}\right)^{8}+6^5\cdot 3^7+{2^{3}}^2\right]:\left[\left(2^5\right)^{16}+6^{12}:2^7+2^9\right] =\\\\\\ =\left[2^{8\cdot 10}+(2\cdot 3)^5\cdot 3^7+2^{9}\right]:\left[2^{16\cdot 5}+\left(2\cdot 3\right)^{12}:2^7+2^9\right]\\\\\\=\left[2^{8\cdot 10}+2^5\cdot 3^5\cdot 3^7+2^{9}\right]:\left[2^{16\cdot 5}+2^{12}\cdot 3^{12}:2^7+2^9\right]\\ \\ \\= \left[2^{80}+2^5\cdot 3^{5+7}+2^{9}\right]:\left[2^{80}+2^{12-7}\cdot 3^{12}+2^9\right]$

$=\left[2^{80}+2^5\cdot 3^{12}+2^{9}\right]:\left[2^{80}+2^{5}\cdot 3^{12}+2^9\right]\\ \\\\= \,\boxed{1}$