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What expression is equivalent to?? Thanks in advance!!

What expression is equivalent to?? Thanks in advance!!-example-1
User Loonatick
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1 Answer

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( { \frac{ {4}^{ (5)/(4) }. { 4}^{ (1)/(4) } }{ {4}^{ (1)/(2) } } })^{ (1)/(2) } \\ = {( \frac{ {4}^{ (5)/(4) + (1 )/(4) } }{ {4}^{ (1)/(2) } } )}^{ (1)/(2) } \\ = ({ \frac{ {4}^{ (6)/(4) } }{ {4}^{ (1)/(2) } } })^{ (1)/(2) } = \frac{ {4}^{ (6)/(4) * (1)/(2) } }{ {4}^{ (1)/(2) * (1)/(2) } } = \frac{ {4}^{ (3)/(4) } }{ {4}^{ (1)/(4) } } \\ = {4}^{ (3)/(4) - (1)/(4) } = {4}^{ ( 2)/(4) } = {4}^{ (1)/(2) } = √(4) = 2

User Astropringles
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