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

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Answer 1 · 2017-06-01T10:53:19

#43,046,721#

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 2 · 2017-06-02T06:21:40

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

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#