Question

Simplify and Show your Work

Answer 1

Explanation:

`2 ^{ (1)/(2) } = 2 ^{1 * (1)/(2) } = √(2) \\ {2}^{ (2)/(3) } = 2 ^{2 * (1)/(3) } = \sqrt[3]{2 ^(2) } \\ 3 ^{ (3)/(2) } = {3}^{3 * (1)/(2) } = \sqrt[]{ {3}^(3) } \\ {3}^{ (1)/(3) } = 3 ^{1 * (1)/(3) } = \sqrt[3]{3}`

Answer 2

Explanation:

`\sf \: {2}^{ (1)/(2 ) } = √(2)`

`\sf \: {2}^{ (2)/(3) } = \sqrt[3]{ {2}^(2) }`

`\sf \: {3}^{ (3)/(2) } = \sqrt{ {3}^(3) }`

`\sf \: {3}^{ (1)/(3) } = \sqrt[3]{3}`