What is the last digit of 3^(3^(4n)) +1,...

What is the last digit of `3^(3^(4n)) +1`, where n is a natural number?

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`3^(4n)=1`
`3^(4n+1)=3`
`3^(4n+2)=9`
`3^(4n+3)=7`
`3^4=81`
`3^(80+1)^n->3^1`
the correct option is d.

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