Question

Решите пожалуйста
(3*5√1/9)^5

Answer 1

$(3*sqrt[5]{frac{1}{9}}) ^{5}= 3^{5}* frac{1}{9}= frac{3^{5}} {3^{2}}= 3^{3}=27$

Answer 2

$Big (3cdot sqrt[5]{frac{1}{9}}Big )^5=Big (3cdot frac{1}{sqrt[5]9}Big )^5=Big (3cdot frac{1}{3^{2/5}}Big )^5=frac{3^5}{(3^{2/5})^5}=frac{3^5}{3^2}=3^3=27$