Question

resolvendo a expressão (2/3)elevado a 2 + (3/2) elevado a 3 teremos ?

Answer 1

( 2 )² +  ( 3 )³
-----        ----
(  3)       (2 )

  4     +  27         8.4 + 9.27 
------     ------  = ---------------
  9          8             72

= 32 + 243     =   275
   --------------       -------
        72                72

*********************************
Obs.: mmc (9,8) = 72

9,8: 2
9,4: 2
9,2: 2
9,1: 3
3,1: 3
---------------
1,1   = 2.2.2.3.3 = 8.9 = 72

Answer 2

Resposta:

$\left(\frac{2}{3}\right)^2+\left(\frac{3}{2}\right)^3\\\\\frac{2^2}{3^2}+\left(\frac{3}{2}\right)^3\\\\\frac{2^2}{3^2}+\frac{3^3}{2^3}\\\\\frac{2^2}{9}+\frac{3^3}{2^3}\\\\\frac{2^2}{9}+\frac{3^3}{8}\\\\\frac{32}{72}+\frac{243}{72}\\\\=\frac{32+243}{72}\\\\=\frac{275}{72}<<<$