Chi mi aiuta a risolverla.. 444

Mamma mia! Quanto è lunga... Ne ricopio un pezzettino per volta!!!

2^3 = 8;

prima le tonde...

2^3 x [4 x (4/2 + 1/2)^2  x 1/6 + 1/2 x (36/4 - 11/4) x (4/6 - 3/6)] x 8 .....;

2^3 x [4 x (5/2)^2 x 1/6 + 1/2 x 25/4 x 1/6] x 8 ....

8 x [4 x 25/4 x 1/6 + 25/48 ] x 8 ...

8 x [25/6 + 25/48] x 8...

8 x [200/48 + 25/48] x 8 ...

8 x [225/48] x 8 ...

225 /48 si semplifica per 3; diventa 75/16;

8 x 75/16 x 8 x (5/3 - 3/2)^2...

8 x 75/16 x 8 x (10/6 - 9/6)^2...

8 x 75/16 x 8 x (1/6)^2  : [4/3 x (5/4)^2 x 12];

8 x 75/16 x 8 x 1/36 : [ 4/3 x 25/16 x 12] ;

300/36 : [25/1];

300 /36 si semplifica per 4 x 3 = 12; resta 25/3

25/3 x [1/25 ] = 1/3.

Ciao  @titty-2

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444)

$2^3·\left\lbrack4·\left(2+\frac12\right)^2·\frac16+\frac12·\left(9-\frac{11}{4}\right)·\left(\frac23-\frac12\right)\right]·8·\left(\frac{5}{3}-\frac{3}{2}\right)^2 : \left\lbrack\frac43·\left(\frac54\right)^2·12\right\rbrack=$

$=8·\left[4·\left(\frac{4+1}{2}\right)^2·\frac{1}{6}+\frac{1}{2}·\left(\frac{36-11}{4}\right)·\left(\frac{4-3}{6}\right)\right]·8·\left(\frac{10-9}{6}\right)^2 : \left[\frac{\cancel4^1}{3}·\frac{25}{\cancel{16}_4}·12\right]=$

$=8·\left[4·\left(\frac{5}{2}\right)^2·\frac{1}{6}+\frac{1}{2}·\frac{25}{4}·\frac{1}{6}\right]·8·\left(\frac{1}{6}\right)^2 : \left[\frac{1}{3}·\frac{25}{\cancel4_1}·\cancel{12}^3\right]=$

$=8·\left[\cancel4^1·\frac{25}{\cancel4_1}·\frac{1}{6}+\frac{25}{48}\right]·\cancel8^2·\frac{1}{\cancel{36}_9} : \left[\frac{1}{\cancel3_1}·\frac{25}{1}·\cancel3^1\right]=$

$=8·\left[1·\frac{25}{1}·\frac{1}{6}+\frac{25}{48}\right]·\frac{2}{9} : \left[\frac{1}{1}·\frac{25}{1}·1\right]=$

$=8·\left[\frac{25}{6}+\frac{25}{48}\right]·\frac{2}{9} : \frac{25}{1}=$

$=8·\left[\frac{200+25}{48}\right]·\frac{2}{9} · \frac{1}{25}=$

$=\cancel8^1·\frac{\cancel{225}^9}{\cancel{48}_6}·\frac{2}{9} · \frac{1}{\cancel{25}_1}=$

$=1·\frac{\cancel9^1}{\cancel6_3}·\frac{\cancel2^1}{\cancel9_1}·\frac{1}{1}=$

$=\frac{1}{3}·\frac{1}{1}=$

$=\dfrac{1}{3}$

2^3*(4*(5/2)^2*1/6+1/2*25/4*1/6)*8*1/36 *48/1200

8(25/6+25/48)*8*48/(1200*36)

(200+25)/48*48*64/(1200*36)

225*64/(1200*36)

3/16*32/18 = 2/6

2/6 = 1/3