Question

найти значения корня

Answer 1

Ответ$\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\dddddd \displaystyle \large \boldsymbol{:}$

Объяснение:

• Формулы :

$1) \Large \boldsymbol {\sqrt[k]{m^n}=m^{\frac{n}{k} } } \\\\ 2) \boldsymbol {a^n:a^m=a^{n-m} }$  

$\displaystyle \large \boldsymbol {}1) \ \ \sqrt[7]{0,3^7\cdot 5^{14}} =0,3^{\frac{7}{7} } \cdot 5^{\frac{14}{7} } =0,3\cdot 25=7,5 \\\\\\2) \ \ \sqrt[4]{ \frac{3^8\cdot 7^4}{5^4\cdot 2^{12}} }=\sqrt[4]{\frac{3^8\cdot 7^4}{5^4\cdot 2^{12}} } = \frac{3^{\frac{8}{4}} \cdot 7^{\frac{4}{4} } }{5^{\frac{4}{4} }\cdot 2^{\frac{12}{4} }} }} =\frac{9\cdot 7}{5\cdot 8} =\frac{63}{40} =1\frac{23}{40} \\\\\\3) \ \sqrt[3]{0,108} \cdot \sqrt[3]{2} =\sqrt[3]{0,108\cdot2} =\sqrt[3]{0,216} =\sqrt[3]{(0,6)^3}=0,6$

$\displaystyle \large \boldsymbol {} 4) \ \frac{\sqrt[5]{96} }{\sqrt[5]{729} } =\sqrt[5]{\frac{32\cdot 3}{243\cdot 3} } =\sqrt[5]{\frac{2^5}{3^5} } =\frac{2}{3}$