Question

Dau coroana va rog multtt!! ​

Answer 1

$\frac{1}{2 ^{3} } + \frac{1}{ {2}^{2} \times 3} + \frac{1}{2 \times 3 {}^{2} } + \frac{1}{ {3}^{3} }$

$= \frac{1}{8} + \frac{1}{4 \times 3} + \frac{1}{2 \times 9} + \frac{1}{27}$

$= \frac{1}{8} + \frac{1}{12} + \frac{1}{18} + \frac{1}{27}$

Îl amplificam pe 1/8 cu 27

Pe 1/12 cu 18

Pe 1/18 cu 12

Pe1/27 cu 8

$= \frac{27}{216} + \frac{18}{216} + \frac{12}{216} + \frac{8}{216}$

$= \frac{45}{216} + \frac{12}{216} + \frac{8}{216}$

$= \frac{57}{216} + \frac{8}{216}$

$= \frac{65}{216}$