Question

2. Daca a=1/2-1/3 , calculati a la a 3.
3. Fie a=0,(3) si b=3/2.Calculati a ori b.

Answer 1

2. a=1/2-1/3 =) a=1/2 La puterea a 3 a - 1/3 la puterea  a 2 a =) a=3-2/6=) a=1/6
a la puterea a 3 a = 1/6 la a 3 a = 1/216
3. 0,(3) x 3/2 = 3/9 x 3/2 = 1/3 x 3/2 = 1/2 ( se simplifica 3 cu 3 ) 

Answer 2

$a= \frac{1}{2}- \frac{1}{3} \\ a^{3} =[\frac{1}{2}- \frac{1}{3}]^{3} \\ (a-b)^{3} =a^{3}-3a^{2}b+3ab^{2} -b^{3}\\a^{3} =( \frac{1}{8} - \frac{1}{4} + \frac{1}{6} - \frac{1}{9} ) \\ a^{3} = \frac{9-18+12-8}{72} \\ a^{3} =- \frac{5}{72}$

b. a=0,(3)=3/9  si b=3/2    deci a×b=3/9×3/2
$a*b=\frac{3}{9}* \frac{3}{2} = \frac{1}{2}$