if A={:[(1,1,1),(1,1,1),(1,1,1)]:}, pro...

if `A={:[(1,1,1),(1,1,1),(1,1,1)]:},` prove by mathematical induction that,
`A^(n)={:[(3^(n-1),3^(n-1),3^(n-1)),(3^(n-1),3^(n-1),3^(n-1)),(3^(n-1),3^(n-1),3^(n-1))]:}` for every positive integer n.

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