Write 4/27(2^((3+m)/3)+2^(m/3)^3 as a power of 2

Answer 1

Your parentheses are unbalanced. I will try with

4/27 * (2^((3+m)/3)+2^(m/3)^3)
= 4/27 * (2^(1 + m/3) + 2^m)
= 4/27 * (2*2^(m/3) + 2^m)

there's no way to
(a) add those powers in the parens
(b) get rid of the 27, which is a power of 3

I suspect a typo somewhere