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Verify the property: by taking:
(i)
(ii)
(iii)
(iv)
(i) We have,
x = , y =
and z =
x * (y * z) = * (
*
)
= (
)
=
(x * y) * z = ( *
) *
= (
)
=
(ii) We have,
x =0, y = and z =
x * (y * z) = 0 * ( *
)
= 0
(x * y) * z = (0* ) *
= 0
(iii) We have,
x = , y =
and z =
x * (y * z) = * (
*
)
= (
)
=
(x * y) * z = ( *
) *
= (
)
=
(iv) We have,
x = , y =
and z =
x * (y * z) = * (
*
)
=
(x * y) * z = ( *
) *
= (
)
=