Question

Simplify the following expression: (16x^4)^1/4 * 2x^6​

Answer 1

`4 {x}^(7)`

Explanation:

`\bigg(16 {x}^(4) \bigg)^{ (1)/(4) } \ast2 {x}^(6) \\ = \bigg( {2}^(4) {x}^(4) \bigg)^{ (1)/(4) } \ast2 {x}^(6) \\ = {2}^{4 * ^{ (1)/(4) }} {x}^{4 * ^{ (1)/(4) }} \ast2 {x}^(6) \\ =2x \ast \: 2 {x}^(6) \\ = 2 * 2 * x * {x}^(6) \\ {2}^(1 + 1) * {x}^(1 + 6) \\ = {2}^(2) * {x}^(7) \\ = 4 {x}^(7) \\`