Question: It can also be shown that for arbitrary positive integer (a, phi(a)) is given by [phi(a)=prod_{i=1}^{t}left[p_{i}^{a_{i}-1}left(p_{i}-1ight)ight]] where (a) is given by Equation (8.1), namely: (a=P_{1}^{a_{1}}
It can also be shown that for arbitrary positive integer \(a, \phi(a)\) is given by
\[\phi(a)=\prod_{i=1}^{t}\left[p_{i}^{a_{i}-1}\left(p_{i}-1ight)ight]\]
where \(a\) is given by Equation (8.1), namely: \(a=P_{1}^{a_{1}} P_{2}^{a_{2}} \ldots P_{t}^{a_{t}}\). Demonstrate this result.
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