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 \(7^{\star7}?\)

×

Problem Loading...

Note Loading...

Set Loading...