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

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

Izrēķināt

$$\frac{25\sqrt[3]{23}}{3}\approx 23,698891499$$

Atrisinājuma darbības

Aprēķiniet 3 pakāpē -2 un iegūstiet \frac{1}{9}.

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

Aprēķiniet \frac{1}{5} pakāpē -3 un iegūstiet 125.

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

Reiziniet \frac{1}{9} un 125, lai iegūtu \frac{125}{9}.

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

Atņemiet \frac{1}{3} no 3, lai iegūtu \frac{8}{3}.

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

Saskaitiet -\frac{1}{2} un 1, lai iegūtu \frac{1}{2}.

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

Reiziniet 2 un \frac{1}{2}, lai iegūtu 1.

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

Atņemiet 1 no \frac{8}{3}, lai iegūtu \frac{5}{3}.

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

Daliet \frac{125}{9}\sqrt[3]{23} ar \frac{5}{3}, reizinot \frac{125}{9}\sqrt[3]{23} ar apgriezto daļskaitli \frac{5}{3} .

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

Reiziniet \frac{125}{9} un 3, lai iegūtu \frac{125}{3}.

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

Daliet \frac{125}{3}\sqrt[3]{23} ar 5, lai iegūtu \frac{25}{3}\sqrt[3]{23}.

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