Question

Simplifique:

2· [2³·2⁵· (2⁸÷ 2⁵)]²

Answer 1

$2.[2^3.2^5.(2^{8-5})]^2= \\ \\ 2.[2^3.2^5.2^3]^2= \\ \\ 2.[2^{3+5+3}]^2= \\ \\ 2.[2^{3+5+3}]^2= \\ \\ 2.[2^{11}]^2= \\ \\ 2.2^{22}= \\ \\ 2^{1+22}=2^{23}$