Introducing a new operation

Algebra Level 1

Define the star operation as ab=a+ab+b.a\star b=a+ab+b.

Then define the star power operation as an=aaaaawrittenntimes,a^{\star n}=\underbrace{a\star a\star a\star\cdots\star a}_{a\, \mathrm{written} \, n \, \mathrm{times}}, with a1=a.a^{\star 1}=a.

What is 77?7^{\star7}?

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