Question

How do you simplify `[(3^2)^2]^4`?

Answer 1

See the entire solution process below:

Explanation:

First, we can square the term within the parenthesis:

`[(color(red)(3^2))^2]^4 = [(color(red)(9))^2]^4 = [9^2]^4`

Next, we can square the term within the brackets:

`[color(red)(9^2)]^4 = [81]^4`

Now, we can take `81` to the 4th power:

`[81]^4 = 43,046,721`