Question

ME AJUDEEM!!!!!

Determine os resultados das seguintes expressões:

a) ₆√3₈ =

b) ₄√1024 =

c) ₄√64 =

d) ∛625 =

e) ₄√512 =

f) ∛1024 =

Answer 1

a) $\sqrt[6]{3^8} = \sqrt[6]{3^6.3^2} =3 \sqrt[6]{3^2}$

b)$\sqrt[4]{1024} = \sqrt[4]{2^1^0}= \sqrt[4]{2^4.2^4.2^2} =4 \sqrt[4]{2^2}$

c) $\sqrt[4]{64}= \sqrt[4]{2^6} = \sqrt[4]{2^4.2^2}=2 \sqrt[4]{2^2}$

d) $\sqrt[3]{625} = \sqrt[3]{5^4} = \sqrt[3]{5^3.5} =5 \sqrt[3]{5}$

e) $\sqrt[4]{512} = \sqrt[4]{2^9}= \sqrt[4]{2^4.2^4.2} =4 \sqrt[4]{2}$

f) $\sqrt[3]{1024} = \sqrt[3]{2^1^0} = \sqrt[3]{2^3.2^3.2^3.2}=8 \sqrt[3]{2}$