How do you simplify #[( 8^ { \frac { 2} { 3} } ) ^ { 2} ]#?

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Answer 1 · 2017-03-23T08:29:53

#2^4=16#

We can take:

#(8^(2/3))^2#

and rewrite, remembering that #8=2^3#:

#((2^3)^(2/3))^2#

We can rewrite again, remembering that #(x^a)^b=x^(ab)#

#(2^(3xx2/3))^2#

#2^(3xx2/3xx2)#

#2^4=16#