Question

помогите сделать!!!!!

Answer 1

Ответ:

в объяснении

Объяснение:

а)

$\displaystyle 3^{1/2}\qquad 5^{1/3}\\\\3^{3/6}\qquad 5^{2/6}\\\\\bigg(3^3\bigg)^{1/6}\qquad \bigg(5^2\bigg)^{1/6}\\\\\\(27)^{1/6}\; > \; (25)^{1/6}$

$\displaystyle \boldsymbol {3^{1/2} \; > \; 5^{1/3}}$

б)

$\displaystyle 3^{-1/4}\qquad 4^{-1/5}\\\\\\3^{-5/20}\qquad 4^{-4/20}\\\\\\\bigg(\bigg(\frac{1}{3} \bigg)^5\bigg)^{1/20}\qquad \bigg(\bigg(\frac{1}{4} \bigg)^4\bigg)^{-20}\\\\\\\bigg(\frac{1}{243} \bigg)^{1/20}\; > \;\bigg(\frac{1}{256} \bigg)^{1/20}$

$\displaystyle \boldsymbol{3^{-1/4} \; > \; 4^{-1/5}}$