Resposta:
a
[tex] \sqrt[3]{ {2}^{(2 + 1)} } = \sqrt[3]{ {2}^{3} } = 2[/tex]
b
[tex] \sqrt[5]{ {3}^{(2 + 3)} } = \sqrt[5]{ {3}^{5} } = 3[/tex]
c
[tex] \sqrt[4]{(6 \times 216)} = \sqrt[4]{(6 \times {6}^{3} )} \\ = \sqrt[4]{ {6}^{4} } = 6[/tex]
d
[tex] \sqrt[15]{ {2}^{(4 + 1)} } = \sqrt[15]{ {2}^{5} } = {2}^{ \frac{5}{15} } = {2}^{ \frac{1}{3} } = \sqrt[3]{ 2} [/tex]
e
[tex] \sqrt[10]{ {2}^{4} } \times \sqrt[10]{ {2}^{6} } = \sqrt[10]{ {2}^{10} } = 2[/tex]
f
[tex] \sqrt[20]{ {2}^{(7 - 3)} } = \sqrt[20]{ {2}^{4} } = {2}^{ \frac{4}{20} } = {2}^{ \frac{1}{5} } = \sqrt[5]{ 2} [/tex]
g
[tex] \frac{ \sqrt[30]{ {4}^{36} }}{ \sqrt[30]{ {4}^{6} } } = \sqrt[30]{ {4}^{30} } = 4[/tex]
