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

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

Baholash

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

Yechim qadamlari

-2 daraja ko‘rsatkichini 3 ga hisoblang va \frac{1}{9} ni qiymatni oling.

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

-3 daraja ko‘rsatkichini \frac{1}{5} ga hisoblang va 125 ni qiymatni oling.

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

\frac{125}{9} hosil qilish uchun \frac{1}{9} va 125 ni ko'paytirish.

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

\frac{8}{3} olish uchun 3 dan \frac{1}{3} ni ayirish.

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

\frac{1}{2} olish uchun -\frac{1}{2} va 1'ni qo'shing.

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

1 hosil qilish uchun 2 va \frac{1}{2} ni ko'paytirish.

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

\frac{5}{3} olish uchun \frac{8}{3} dan 1 ni ayirish.

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

\frac{125}{9}\sqrt[3]{23} ni \frac{5}{3} ga bo'lish \frac{125}{9}\sqrt[3]{23} ga k'paytirish \frac{5}{3} ga qaytarish.

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

\frac{125}{3} hosil qilish uchun \frac{125}{9} va 3 ni ko'paytirish.

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

\frac{25}{3}\sqrt[3]{23} ni olish uchun \frac{125}{3}\sqrt[3]{23} ni 5 ga bo‘ling.

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