Question

me ajudem na questao 15 20 pts

Answer 1

a) $\sqrt[12]{9^4}= \sqrt[12:4]{9^{4:4}}= \sqrt[3]{9^1}= \sqrt[3]{9}\ \ \therefore \ \ A = 1$


b) $\sqrt{14^5} =\sqrt[2\cdot3]{14^{5\cdot3}} = \sqrt[6]{14^{15}}\ \ \therefore \ \ E = 6$

c) $\sqrt[9]{(-5)^6} = \sqrt[9:3]{(-5)^{6:3}} = \sqrt[3]{(-5)^2} \ \ \therefore \ \ D = 3$


d) $\sqrt[14]{ (\frac{1}{3})^7} = \sqrt[14:7]{ (\frac{1}{3})^{7;7}} = \sqrt[2]{( \frac{1}{3})}= \sqrt{ \frac{1}{3}} \ \ \therefore \ \ F = 2$


e) $\sqrt[3]{7^5} = \sqrt[3\cdot4]{7^{5\cdot4}} =\sqrt[12]{7^{20}}\ \ \therefore \ \ B = 12$


f) $\sqrt[15]{0,6^6} = \sqrt[15:3]{0,6^{6:3}}= \sqrt[5]{0,6^2} \ \ \therefore \ \ C = 5$