# Introducing a new operation

Algebra Level 1

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

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

What is $$7^{\star7}?$$

×