Question

Kindly solve and explain

Answer 1

`\frac{{12}^{ (1)/(2) } }{ {3}^{ (3)/(2) } } \\ = \frac{(3 * 4) ^{ (1)/(2) } }{ {3}^{ (3)/(2) } } \\ = \frac{ {3}^{ (1)/(2) } * {4}^{ (1)/(2) } }{ {3}^{ (3)/(2) } } \\ = {3}^{ ((1)/(2) - (3)/(2)) } * 2 ^{2 * (1)/(2) } \\ = {3}^{ - (2)/(2) } * 2 \\ = 3 ^( - 1) * 2 \\ = (2)/(3)`

Answer:

`(2)/(3)`

Hope it helps.

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