Question

Which expression is equivalent to.......


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Answer 1

`\sqrt{ {2}^(5) }`

Explanation:

`\huge \bigg( {2}^{ (1)/(2) }. {2}^{ (3)/(4)} \bigg)^(2) \\ \\ \huge = {2}^{ (1)/(2) * 2 }. {2}^{ (3)/(4) * 2} \\ \\ \huge = 2 * {2}^{ (3)/(2) } \\ \\ \huge = {2}^{ (3)/(2) + 1 } \\ \\ \huge = {2}^{ (3 + 2)/(2) } \\ \\ \huge = {2}^{ (5)/(2) } \\ \\ \huge = \sqrt{ {2}^(5) }`