Respuesta :

[tex]B.\:16[/tex]

1) Let's apply in this case, the property of rational exponents.

2) Thus, let's rewrite it and solve it by distributing the exponent over the product below

[tex]\begin{gathered} \left(-8\right)^{\frac{4}{3}} \\ \\ \left(-1\right)^{\frac{4}{3}}\cdot \:8^{\frac{4}{3}} \\ \\ \left(\left(-1\right)^{\frac{1}{3}}\right)^4\cdot\left(2^3\right)^{\frac{4}{3}} \\ \\ 1\cdot2^4 \\ \\ 16 \end{gathered}[/tex]

Any negative number raised to even exponents yields even numbers. Thus, the answer is 16

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