Question

Помогите пожалуйста​

Answer 1

а) $25^{\frac{1}{5}} \cdot 125^{\frac{1}{5}} =5^{\frac{2}{5} } \cdot 5^{\frac{3}{5} } = 5^{\frac{2}{5} + \frac{3}{5}}=5^1 =5$

$25^{\frac{1}{5} }  = (5^{2} )^{\frac{1}{5} }  =5^{2 \cdot \frac{1}{5}} =5^{\frac{2}{5} }$

$125^{\frac{1}{5} }  = (5^{3} )^{\frac{1}{5} }  =5^{3 \cdot \frac{1}{5}} =5^{\frac{3}{5} }$

б) $\frac{a^{\frac{4}{3} } b+ab^{\frac{4}{3} } }{\sqrt[3]{a} +\sqrt[3]{b} } =\frac{ab(a^{\frac{1}{3} } +b^{\frac{1}{3} }) }{a^{\frac{1}{3} } +b^{\frac{1}{3} } }=ab$