Resposta:

[tex]\textsf{Leia abaixo}[/tex]

Explicação passo a passo:

[tex]\sf \left(\sqrt[\sf 3]{\sf 2\sqrt{\sf 2\sqrt{\sf 2^4\sqrt{\sf 2^2}}}}\right)^{12}[/tex]

[tex]\sf \left(\sqrt[\sf 3]{\sf 2\sqrt{\sf 2\sqrt{\sf 2^5}}}\right)^{12}[/tex]

[tex]\sf \left(\sqrt[\sf 3]{\sf \sqrt{\sf 4 \sqrt{\sf 2^7}}}\right)^{12}[/tex]

[tex]\sf \left(\sqrt[\sf 3]{\sf \sqrt{\sf \sqrt{\sf 2^{11}}}}\right)^{12}[/tex]

[tex]\sf \left(\sqrt[\sf 12]{\sf 2^{11}}}}\right)^{12}[/tex]

[tex]\boxed{\boxed{\sf \left(\sqrt[\sf 3]{\sf 2\sqrt{\sf 2\sqrt{\sf 2^4\sqrt{\sf 2^2}}}}\right)^{12} = 2048}}[/tex]