Issolvi 1/(-5)-5/(-5)^2-25/(-5)^3-125/(-5)^4

$$\frac { 1 } { ( - 5 ) } - \frac { 5 } { ( - 5 ) ^ { 2 } } - \frac { 25 } { ( - 5 ) ^ { 3 } } - \frac { 125 } { ( - 5 ) ^ { 4 } }$$

Evalwa

$$-\frac{2}{5}=-0.4$$

Passi tas-Soluzzjonijiet

Frazzjoni \frac{1}{-5} tista' tinkiteb mill-ġdid bħala -\frac{1}{5} bl-estrazzjoni tas-sinjal negattiv.

$$-\frac{1}{5}-\frac{5}{\left(-5\right)^{2}}-\frac{25}{\left(-5\right)^{3}}-\frac{125}{\left(-5\right)^{4}}$$

Ikkalkula -5 bil-power ta' 2 u tikseb 25.

$$-\frac{1}{5}-\frac{5}{25}-\frac{25}{\left(-5\right)^{3}}-\frac{125}{\left(-5\right)^{4}}$$

Naqqas il-frazzjoni \frac{5}{25} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 5.

$$-\frac{1}{5}-\frac{1}{5}-\frac{25}{\left(-5\right)^{3}}-\frac{125}{\left(-5\right)^{4}}$$

Billi -\frac{1}{5} u \frac{1}{5} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{-1-1}{5}-\frac{25}{\left(-5\right)^{3}}-\frac{125}{\left(-5\right)^{4}}$$

Naqqas 1 minn -1 biex tikseb -2.

$$-\frac{2}{5}-\frac{25}{\left(-5\right)^{3}}-\frac{125}{\left(-5\right)^{4}}$$

Ikkalkula -5 bil-power ta' 3 u tikseb -125.

$$-\frac{2}{5}-\frac{25}{-125}-\frac{125}{\left(-5\right)^{4}}$$

Naqqas il-frazzjoni \frac{25}{-125} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 25.

$$-\frac{2}{5}-\left(-\frac{1}{5}\right)-\frac{125}{\left(-5\right)^{4}}$$

L-oppost ta' -\frac{1}{5} huwa \frac{1}{5}.

$$-\frac{2}{5}+\frac{1}{5}-\frac{125}{\left(-5\right)^{4}}$$

Billi -\frac{2}{5} u \frac{1}{5} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{-2+1}{5}-\frac{125}{\left(-5\right)^{4}}$$

Żid -2 u 1 biex tikseb -1.

$$-\frac{1}{5}-\frac{125}{\left(-5\right)^{4}}$$

Ikkalkula -5 bil-power ta' 4 u tikseb 625.

$$-\frac{1}{5}-\frac{125}{625}$$

Naqqas il-frazzjoni \frac{125}{625} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 125.

$$-\frac{1}{5}-\frac{1}{5}$$

Billi -\frac{1}{5} u \frac{1}{5} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{-1-1}{5}$$

Naqqas 1 minn -1 biex tikseb -2.

$$-\frac{2}{5}$$

Fattur

$$-\frac{2}{5} = -0.4$$