Sorry for the repost, there was a mistake with the bracketing in the last one.
Write (4/27)(2^((3+m)/3)+2^(m/3))^3 as a power of 2, show your work.
(4/27) [ 2^1 2^m/3 +2^m/3 ]^3
(4/27) [2^m/3 (2+1)]^3
(4/27) 2^m 3^3
4*2^m
2^2*2^m = 2^(m+2)
Write (4/27)(2^((3+m)/3)+2^(m/3))^3 as a power of 2, show your work.
(4/27) [2^m/3 (2+1)]^3
(4/27) 2^m 3^3
4*2^m
2^2*2^m = 2^(m+2)