Question

Rezultatul calcului $-\frac{5}{6} -\frac{1}{6}$·$(\frac{2}{3})^{-2}$

HELP!!!!!

Answer 1

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

Answer 2

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