Question

решить примеры со степенями​

Answer 1

Ответ:

Пошаговое объяснение:

2. $6^{\frac{5}{8}}*36^{\frac{3}{16}}=6^{\frac{5}{8}}*6^{2*\frac{3}{16}}=6^{\frac{5}{8}}*6^{\frac{6}{16}}=6^{\frac{5}{8}}*6^{\frac{3}{8}}=6^{\frac{5}{8}+\frac{3}{8}}=6^{\frac{8}{8}}=6$

3. $2,25^{\frac{1}{7}}*4^{\frac{2}{7}}*36^{\frac{6}{7}}=\sqrt[7]{2,25*4^{2}*36^{6}}=\sqrt[7]{2,25*16*2176782336}=\sqrt[7]{78364164096}$

Answer 2

$2. \\6^{\frac{5}{8} } *36^{\frac{3}{16}} =6^{\frac{5}{8} } *6^{2*\frac{3}{16}}=6^{\frac{5}{8}} *6^{\frac{3}{8}} = 6^{\frac{5}{8} +\frac{3}{8} } =6^{\frac{8}{8} } =6^1=6$

$3.\\2,25^{\frac{1}{7} } *4^{\frac{2}{7} }*36^{\frac{6}{7} }=(\frac{9}{4})^{\frac{1}{7} } *4^{\frac{2}{7} }*36^{\frac{6}{7} }=\frac{9^{\frac{1}{7} }}{4^{\frac{1}{7}}}}*4^{\frac{2}{7} }*36^{\frac{6}{7} }= 9^{\frac{1}{7}}*4^{\frac{1}{7} }*36^{\frac{6}{7} }=(9*4)^{\frac{1}{7}}*36^{\frac{6}{7} }=36^{\frac{1}{7}}*36^{\frac{6}{7} }=36^{\frac{1}{7} +\frac{6}{7} } =36^{\frac{7}{7}}=36^1=36$