Question

$\sqrt[5]{243-0,00032} \\\sqrt[7]{0,3^{7} *5^{14} } \\\sqrt[4]{\frac{3^{8}7^{4} }{5^{4} 2^{12} } }$

Answer 1

Объяснение:

$\sqrt[5]{243*0,00032}=\sqrt[5]{3^5*0,2^5} =\sqrt[5]{(3*0,2)^5}=0,6.\\\sqrt[7]{0,3^7*5^{14}} = \sqrt[7]{0,3^7*(5^2)^{7}}=\sqrt[7]{(0,3*25)^7} =7,5.\\\sqrt[4 ]{\frac{3^8*7^4}{5^4*2^{12}} } =\sqrt[4]{\frac{(3^2)^4*7^4}{5^4*(2^3)^4} } =\sqrt[4]{(\frac{9*7}{5*8})^4 }=|\frac{63}{40} |=\frac{63}{40} =1\frac{23}{40} .$