Question

Va rog rezolvati punctul c)!

Answer 1

Răspuns:

Explicație pas cu pas:

-1 + 2/3 = -3/3 + 2/3 = -1/3

(-1/3)^-3 = (-3/1)^3 = -27

(-1/3)^-1 = (-3/1)^1 = -3

____________

-27 : a/b = -3

a/b = -27 : (-3) = 9 = 9/1

b/a = 1/9

Answer 2

Explicație pas cu pas:

${\left( - 1 + \frac{2}{3} \right)}^{ - 3} \div \frac{a}{b} = {\left( - \frac{1}{3} \right)}^{ - 1}$

${\left(\frac{ - 3 + 2}{3} \right)}^{ - 3} \cdot \frac{b}{a} = - 3$

${\left( - \frac{1}{3} \right)}^{ - 3} \cdot \frac{b}{a} = - 3$

${( - 3)}^{ - 3} \cdot \frac{b}{a} = - 3$

$\frac{b}{a} = \frac{3}{ {3}^{3} } \iff \frac{b}{a} = \frac{1}{ {3}^{2} } \implies \red{\bf \frac{b}{a} = \frac{1}{9}}$