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

2 Answers
Jun 1, 2017

43,046,721

Explanation:

We have: [(3^(2))^(4)]^(2)

Following BEDMAS rules, let's evaluate the terms within the parentheses first:

= [(9)^(4)]^(2)

= [6561]^(2)

= 43,046,721

[(3^2)^4]^2=3^(2xx4xx2)=3^16=43,046,721

Explanation:

An alternate way to view this question is to remember that (x^a)^b=x^(ab), and so:

[(3^2)^4]^2=3^(2xx4xx2)=3^16=43,046,721