Answer:
[tex] 4 {x}^{7}[/tex]
Step-by-step explanation:
[tex] \bigg(16 {x}^{4} \bigg)^{ \frac{1}{4} } \ast2 {x}^{6} \\ = \bigg( {2}^{4} {x}^{4} \bigg)^{ \frac{1}{4} } \ast2 {x}^{6} \\ = {2}^{4 \times ^{ \frac{1}{4} }} {x}^{4 \times ^{ \frac{1}{4} }} \ast2 {x}^{6} \\ =2x \ast \: 2 {x}^{6} \\ = 2 \times 2 \times x \times {x}^{6} \\ {2}^{1 + 1} \times {x}^{1 + 6} \\ = {2}^{2} \times {x}^{7} \\ = 4 {x}^{7} \\ [/tex]
