Question

May someone help me with this problem?

Answer 1

`a. \: \: \frac{ {4x}^(6) }{ {y}^(3) } \\`

`b. \: \: \frac{ {8x}^(3) }{ {y}^{ 1(1)/(3) } } \\`

Explanation:

a.

`{( {4x}^( - 2) y)}^( - 3) \\ {4x}^( - 2 * - 3) \: \: {y}^(1 * - 3) \\ {4x}^(6) {y}^( - 3) \\ \frac{ {4x}^(6) }{ {y}^(3) } \\`

b.

`{( {8x}^(6) {y}^( - 3)) }^{ (1)/(2) } \\ {8x}^{6 * (1)/(2) } \: \: {y}^{ - 3 * (1)/(2) } \\ {8x}^(3) {y}^{ - \frac {3}{2} } \\ \frac{ {8x}^(3) }{ {y}^{ 1(1)/(3) } } \\`