Issolvi [(1/3)^{3}*(-1/3)^{5}*(-1/3)^2]^3:[-(-1/3)^7]^4

$$[ ( \frac { 1 } { 3 } ) ^ { 3 } \cdot ( - \frac { 1 } { 3 } ) ^ { 5 } \cdot ( - \frac { 1 } { 3 } ) ^ { 2 } ] ^ { 3 } : [ - ( - \frac { 1 } { 3 } ) ^ { 7 } ] ^ { 4 }$$

Evalwa

$$-\frac{1}{9}\approx -0.111111111$$

Passi tas-Soluzzjonijiet

Biex timmultiplika l-qawwa tal-istess bażi, żid l-esponenti tagħhom. Żid 5 u 2 biex tikseb 7.

$$\frac{\left(\left(\frac{1}{3}\right)^{3}\left(-\frac{1}{3}\right)^{7}\right)^{3}}{\left(-\left(-\frac{1}{3}\right)^{7}\right)^{4}}$$

Ikkalkula \frac{1}{3} bil-power ta' 3 u tikseb \frac{1}{27}.

$$\frac{\left(\frac{1}{27}\left(-\frac{1}{3}\right)^{7}\right)^{3}}{\left(-\left(-\frac{1}{3}\right)^{7}\right)^{4}}$$

Ikkalkula -\frac{1}{3} bil-power ta' 7 u tikseb -\frac{1}{2187}.

$$\frac{\left(\frac{1}{27}\left(-\frac{1}{2187}\right)\right)^{3}}{\left(-\left(-\frac{1}{3}\right)^{7}\right)^{4}}$$

Immultiplika \frac{1}{27} u -\frac{1}{2187} biex tikseb -\frac{1}{59049}.

$$\frac{\left(-\frac{1}{59049}\right)^{3}}{\left(-\left(-\frac{1}{3}\right)^{7}\right)^{4}}$$

Ikkalkula -\frac{1}{59049} bil-power ta' 3 u tikseb -\frac{1}{205891132094649}.

$$\frac{-\frac{1}{205891132094649}}{\left(-\left(-\frac{1}{3}\right)^{7}\right)^{4}}$$

Ikkalkula -\frac{1}{3} bil-power ta' 7 u tikseb -\frac{1}{2187}.

$$\frac{-\frac{1}{205891132094649}}{\left(-\left(-\frac{1}{2187}\right)\right)^{4}}$$

L-oppost ta' -\frac{1}{2187} huwa \frac{1}{2187}.

$$\frac{-\frac{1}{205891132094649}}{\left(\frac{1}{2187}\right)^{4}}$$

Ikkalkula \frac{1}{2187} bil-power ta' 4 u tikseb \frac{1}{22876792454961}.

$$\frac{-\frac{1}{205891132094649}}{\frac{1}{22876792454961}}$$

Iddividi -\frac{1}{205891132094649} b'\frac{1}{22876792454961} billi timmultiplika -\frac{1}{205891132094649} bir-reċiproku ta' \frac{1}{22876792454961}.

$$-\frac{1}{205891132094649}\times 22876792454961$$

Immultiplika -\frac{1}{205891132094649} u 22876792454961 biex tikseb -\frac{1}{9}.

$$-\frac{1}{9}$$

Fattur

$$-\frac{1}{9} = -0.1111111111111111$$