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On the set W of all non-negative inte...

On the set `W` of all non-negative integers `*` is defined by `a*b=a^b` . Prove that `*` is not a binary operation on `Wdot`

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Given that,
`a*b=a^b inW`all non-negative integers .
for `a=b=0`
`a*b=a*b`
`=>0*0=0^0`
`=>0*0!inW`
hence '*' is not a binary operation.
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