Answer: [tex]-\frac{11}{3}[/tex]
Step-by-step explanation:
[tex]\frac{1}{16} * \sqrt[3]{2} =2^{n}[/tex]
2⁻⁴ * 2¹⁾³ = 2ⁿ
2⁻⁴⁺¹⁾³ = 2ⁿ
2⁽⁻¹²⁺¹⁾⁾³ = 2ⁿ
2⁻¹¹⁾³ = 2ⁿ
-11/3 = n