Question

Q 9. Value of [(81 1/2, 1/412 is
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Answer 1

({(81)

({(81) −1/2

({(81) −1/2 }

({(81) −1/2 } −1/4

({(81) −1/2 } −1/4 )

({(81) −1/2 } −1/4 ) 2

({(81) −1/2 } −1/4 ) 2

({(81) −1/2 } −1/4 ) 2 =(81)

({(81) −1/2 } −1/4 ) 2 =(81) −1/2×−1/4×2

({(81) −1/2 } −1/4 ) 2 =(81) −1/2×−1/4×2 [(a

({(81) −1/2 } −1/4 ) 2 =(81) −1/2×−1/4×2 [(a x

({(81) −1/2 } −1/4 ) 2 =(81) −1/2×−1/4×2 [(a x )

({(81) −1/2 } −1/4 ) 2 =(81) −1/2×−1/4×2 [(a x ) y

({(81) −1/2 } −1/4 ) 2 =(81) −1/2×−1/4×2 [(a x ) y =a

({(81) −1/2 } −1/4 ) 2 =(81) −1/2×−1/4×2 [(a x ) y =a xy

({(81) −1/2 } −1/4 ) 2 =(81) −1/2×−1/4×2 [(a x ) y =a xy ]

({(81) −1/2 } −1/4 ) 2 =(81) −1/2×−1/4×2 [(a x ) y =a xy ]=(81)

({(81) −1/2 } −1/4 ) 2 =(81) −1/2×−1/4×2 [(a x ) y =a xy ]=(81) 1/4

({(81) −1/2 } −1/4 ) 2 =(81) −1/2×−1/4×2 [(a x ) y =a xy ]=(81) 1/4 =3.