e) (13/8 )^ 6 : (39/33) ^ 6 =

Răspuns :

[tex] e)(\frac{13}{8} )^{6} :(\frac{39}{33})^{6} = \\ \\ \frac{13^{6}}{8^{6}}\cdot \frac{33^{6}}{ 39^{6}}= \\ \\ \frac{13^{6}}{8^{6}}\cdot \frac{11^{6} \cdot3^{6}}{3^{6}\cdot13^{6}}= \\ \\ =\frac{11^{6} }{8^{6} } \\ \\ = (\frac{11}{8})^{6} [/tex]
 (13/8 )^ 6 : (39/33) ^ 6 =

Imparti elementele care au acelasi exponent impartind bazele lor

= ( 13/8 : 39/33)^6 =

=( 13/8 * 33/39)^6 =

Se simplifica cu 13  si cu 3 

= ( 1/8 * 11)^6 = 

= (11/8)^6 = 11^6 / 8^6