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

2 Answers
Jun 1, 2017

Answer:

#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#

Answer:

#[(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#