Olá, Francisca.
Temos que:
[tex]\text{A}=8^{\frac{1}{3}}+16^{\frac{1}{4}}-(-2)^2+8^{\frac{4}{3}}[/tex]
Observe que:
[tex]8^{\frac{1}{3}}=\sqrt[3]{8^1}=2\\\\16^{\frac{1}{4}}=\sqrt[4]{16}=2\\\\(-2)^2=(-2)\times(-2)=2^2=4\\\\8^{\frac{4}{3}}=\sqrt[3]{8^4}=\sqrt[3]{8^3\cdot8}=8\sqrt[3]{8}=8\times2=16[/tex]
Logo:
[tex]\text{A}=2+2-4+16=16[/tex]
