Rezultatul calcului [tex] -\frac{5}{6} -\frac{1}{6} [/tex]·[tex] (\frac{2}{3})^{-2} [/tex]

HELP!!!!!


Răspuns :

Cand avem o fractie la putere negativa, o rasturnam si lasam puterea pozitiva, dupa care calculam.

Vezi imaginea MAVERICKARCHER

[tex] -\frac{5}{6}-\frac{1}{6}\cdot(\frac{2}{3})^{-2}= \\ \\(\frac{2}{3})^{-2}=(\frac{3}{2})^{2} =\frac{9}{4} \\ \\- \frac{5}{6}- \frac{1}{6}\cdot\frac{9}{4}=\\ \\ -\frac{5}{6}-\frac{3}{8}=\\ \\ \frac{-20-9}{2\cdot3\cdot4} =\\ \\ =-\frac{29}{24} [/tex]