Question

Qual valor de m com expoente -1 escrita de forma mista?​

Answer 1

$M = {( - 2)}^{ - 3} - \frac{1}{4}.[ \frac{2}{3} - { (- 1 + \frac{1}{2})}^{2} ]$

$M = - {( \frac{1}{2} )}^{3} - \frac{1}{4}.[\frac{2}{3} - ( \frac{ - 2 + 1}{2})^{2}] \\ M = - \frac{1}{8} - \frac{1}{4}.[\frac{2}{3}- {( - \frac{1}{2} )}^{2}]$

$M = - \frac{1}{8} - \frac{1}{4}[ \frac{2}{3} - \frac{1}{4}]\\ M = - \frac{1}{8} - \frac{1}{4}.[ \frac{8 - 3}{12}] \\ M = - \frac{1}{8} - \frac{1}{4} . \frac{5}{12}$

$M = - \frac{1}{8} - \frac{5}{48} = \frac{ - 6 - 5}{48} = - \frac{11}{48}$

${M}^{ - 1} = - \frac{48}{11}$

48| 11

-44 4

4

${M}^{ - 1} = - 4 \frac{4}{11}$