Issolvi 3^-2(frac{1/5)^-3sqrt[3]{23}}{3-1/3-2*(-1/2+1)}=

$$\frac { 3 ^ { - 2 } ( \frac { 1 } { 5 } ) ^ { - 3 } \sqrt[ 3 ] { 23 } } { 3 - \frac { 1 } { 3 } - 2 \cdot ( - \frac { 1 } { 2 } + 1 ) } =$$

Evalwa

$$\frac{25\sqrt[3]{23}}{3}\approx 23.698891499$$

Passi tas-Soluzzjonijiet

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

$$\frac{\frac{1}{9}\times \left(\frac{1}{5}\right)^{-3}\sqrt[3]{23}}{3-\frac{1}{3}-2\left(-\frac{1}{2}+1\right)}$$

Ikkalkula \frac{1}{5} bil-power ta' -3 u tikseb 125.

$$\frac{\frac{1}{9}\times 125\sqrt[3]{23}}{3-\frac{1}{3}-2\left(-\frac{1}{2}+1\right)}$$

Immultiplika \frac{1}{9} u 125 biex tikseb \frac{125}{9}.

$$\frac{\frac{125}{9}\sqrt[3]{23}}{3-\frac{1}{3}-2\left(-\frac{1}{2}+1\right)}$$

Naqqas \frac{1}{3} minn 3 biex tikseb \frac{8}{3}.

$$\frac{\frac{125}{9}\sqrt[3]{23}}{\frac{8}{3}-2\left(-\frac{1}{2}+1\right)}$$

Żid -\frac{1}{2} u 1 biex tikseb \frac{1}{2}.

$$\frac{\frac{125}{9}\sqrt[3]{23}}{\frac{8}{3}-2\times \frac{1}{2}}$$

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

$$\frac{\frac{125}{9}\sqrt[3]{23}}{\frac{8}{3}-1}$$

Naqqas 1 minn \frac{8}{3} biex tikseb \frac{5}{3}.

$$\frac{\frac{125}{9}\sqrt[3]{23}}{\frac{5}{3}}$$

Iddividi \frac{125}{9}\sqrt[3]{23} b'\frac{5}{3} billi timmultiplika \frac{125}{9}\sqrt[3]{23} bir-reċiproku ta' \frac{5}{3}.

$$\frac{\frac{125}{9}\sqrt[3]{23}\times 3}{5}$$

Immultiplika \frac{125}{9} u 3 biex tikseb \frac{125}{3}.

$$\frac{\frac{125}{3}\sqrt[3]{23}}{5}$$

Iddividi \frac{125}{3}\sqrt[3]{23} b'5 biex tikseb\frac{25}{3}\sqrt[3]{23}.

$$\frac{25}{3}\sqrt[3]{23}$$