How do you simplify ${({(2^{2})}^{2}]}^{2}$ $((2^2)^2]^2$ ?

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Answer 1 · 2017-04-30T17:28:39

See the solution process below:

First, evaluate the inner most term:

${[{(2^{2})}^{2}]}^{2} = {[{(4)}^{2}]}^{2}$ $[(color(red)(2^2))^2]^2 = [(color(red)(4))^2]^2$

Next, evaluate the "new" inner most term:

$[{(4)}^{2})]^{2} = {[16]}^{2}$ $[color(red)((4)^2))]^2 = [color(red)(16)]^2$

Now, evaluate the remaining term:

${[16]}^{2} = 256$ $color(red)([16]^2) = 256$

How do you simplify ((22)2]2((2^2)^2]^2?