There are 4 multiple choice questions that have 3 choices each.
The first question can be answered in 3 different ways.
The second question can be answered in 3 different ways.
The third question can be answered in 3 different ways.
And the fourth question can also be answered in 3 different ways.
We have to choose the number of ways of answering the first, second, third, and fourth questions.
So, total number of ways of answering 4 questions =3×3×3×3=(3)4=81