Answer:
[tex]a. \: \: \frac{ {4x}^{6} }{ {y}^{3} } \\ [/tex]
[tex]b. \: \: \frac{ {8x}^{3} }{ {y}^{ 1\frac{1}{3} } } \\ [/tex]
Step-by-step explanation:
a.
[tex] {( {4x}^{ - 2} y)}^{ - 3} \\ {4x}^{ - 2 \times - 3} \: \: {y}^{1 \times - 3} \\ {4x}^{6} {y}^{ - 3} \\ \frac{ {4x}^{6} }{ {y}^{3} } \\ [/tex]
b.
[tex] {( {8x}^{6} {y}^{ - 3}) }^{ \frac{1}{2} } \\ {8x}^{6 \times \frac{1}{2} } \: \: {y}^{ - 3 \times \frac{1}{2} } \\ {8x}^{3} {y}^{ - \frac {3}{2} } \\ \frac{ {8x}^{3} }{ {y}^{ 1\frac{1}{3} } } \\ [/tex]
