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rlesandisusanya

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]

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