Question

помогите пожалуйста!!!!!!!!​

Answer 1

$\displaystyle \tt 1). \ \ \bigg(\frac{2}{3}\bigg)^{5}\cdot(2^{5})^{3}\cdot3^{7}:(2^{10}\cdot3)^{2}=\frac{2^{5}\cdot2^{15}\cdot3^{7}}{3^{5}\cdot2^{20}\cdot3^{2}}=\frac{2^{5+15}\cdot3^{7}}{2^{20}\cdot3^{5+2}}=1;$

$\displaystyle \tt 2). \ \ (7^{2})^{8}\cdot(6^{3})^{4}:(7^{4}\cdot6^{3})^{4}=\frac{7^{2\cdot8}\cdot6^{3\cdot4}}{7^{4\cdot4}\cdot6^{3\cdot4}}=\frac{7^{16}\cdot6^{12}}{7^{16}\cdot6^{12}}=1;$

$\displaystyle \tt 3). \ \ \bigg(\frac{4}{5}\bigg)^{6}\cdot(4^{3})^{3}\cdot5^{8}:(4^{7}\cdot5)^{2}=\frac{4^{6}\cdot4^{3\cdot3}\cdot5^{8}}{5^{6}\cdot4^{7\cdot2}\cdot5^{2}}=\frac{4^{6+9}\cdot5^{8}}{4^{14}\cdot5^{6+2}}=\frac{4^{15}\cdot5^{8}}{4^{14}\cdot5^{8}}=4;$

$\displaystyle \tt 4). \ \ (9^{4}\cdot8^{3})^{5}:(9^{10})^{2}:(8^{2})^{7}=\frac{9^{4\cdot5}\cdot8^{3\cdot5}}{9^{10\cdot2}\cdot8^{2\cdot7}}=\frac{9^{20}\cdot8^{15}}{9^{20}\cdot8^{14}}=8;$