Issolvi 3(1/3)^3-2(1/3)^2+(1/3)

$$3 ( \frac { 1 } { 3 } ) ^ { 3 } - 2 ( \frac { 1 } { 3 } ) ^ { 2 } + ( \frac { 1 } { 3 } )$$

Evalwa

$$\frac{2}{9}\approx 0.222222222$$

Passi tas-Soluzzjonijiet

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

$$3\times \frac{1}{27}-2\times \left(\frac{1}{3}\right)^{2}+\frac{1}{3}$$

Immultiplika 3 u \frac{1}{27} biex tikseb \frac{3}{27}.

$$\frac{3}{27}-2\times \left(\frac{1}{3}\right)^{2}+\frac{1}{3}$$

Naqqas il-frazzjoni \frac{3}{27} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 3.

$$\frac{1}{9}-2\times \left(\frac{1}{3}\right)^{2}+\frac{1}{3}$$

Ikkalkula \frac{1}{3} bil-power ta' 2 u tikseb \frac{1}{9}.

$$\frac{1}{9}-2\times \frac{1}{9}+\frac{1}{3}$$

Immultiplika 2 u \frac{1}{9} biex tikseb \frac{2}{9}.

$$\frac{1}{9}-\frac{2}{9}+\frac{1}{3}$$

Billi \frac{1}{9} u \frac{2}{9} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{1-2}{9}+\frac{1}{3}$$

Naqqas 2 minn 1 biex tikseb -1.

$$-\frac{1}{9}+\frac{1}{3}$$

L-inqas multipli komuni ta' 9 u 3 huwa 9. Ikkonverti -\frac{1}{9} u \frac{1}{3} fi frazzjonijiet bid-denominatur 9.

$$-\frac{1}{9}+\frac{3}{9}$$

Billi -\frac{1}{9} u \frac{3}{9} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{-1+3}{9}$$

Żid -1 u 3 biex tikseb 2.

$$\frac{2}{9}$$

Fattur

$$\frac{2}{3 ^ {2}} = 0.2222222222222222$$