(sqrt{1/9}-[(1/3)^2:(1/2)^2*15-(05+22/3)+05]^3+frac{2}{3}) eching

$$( \sqrt { \frac { 1 } { 9 } } - [ ( \frac { 1 } { 3 } ) ^ { 2 } : ( \frac { 1 } { 2 } ) ^ { 2 } \times 15 - ( 05 + 2 \frac { 2 } { 3 } ) + 05 ] ^ { 3 } + \frac { 2 } { 3 } )$$

Baholash

$$-63$$

Yechim qadamlari

\frac{1}{9} boʻlinmasining kvadrat ildizini \frac{\sqrt{1}}{\sqrt{9}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing. Surat va maxrajni kvadrat ildizdan chiqaring.

$$\frac{1}{3}-\left(\frac{\left(\frac{1}{3}\right)^{2}}{\left(\frac{1}{2}\right)^{2}}\times 15-\left(0\times 5+\frac{2\times 3+2}{3}\right)+0\times 5\right)^{3}+\frac{2}{3}$$

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

$$\frac{1}{3}-\left(\frac{\frac{1}{9}}{\left(\frac{1}{2}\right)^{2}}\times 15-\left(0\times 5+\frac{2\times 3+2}{3}\right)+0\times 5\right)^{3}+\frac{2}{3}$$

2 daraja ko‘rsatkichini \frac{1}{2} ga hisoblang va \frac{1}{4} ni qiymatni oling.

$$\frac{1}{3}-\left(\frac{\frac{1}{9}}{\frac{1}{4}}\times 15-\left(0\times 5+\frac{2\times 3+2}{3}\right)+0\times 5\right)^{3}+\frac{2}{3}$$

\frac{1}{9} ni \frac{1}{4} ga bo'lish \frac{1}{9} ga k'paytirish \frac{1}{4} ga qaytarish.

$$\frac{1}{3}-\left(\frac{1}{9}\times 4\times 15-\left(0\times 5+\frac{2\times 3+2}{3}\right)+0\times 5\right)^{3}+\frac{2}{3}$$

\frac{4}{9} hosil qilish uchun \frac{1}{9} va 4 ni ko'paytirish.

$$\frac{1}{3}-\left(\frac{4}{9}\times 15-\left(0\times 5+\frac{2\times 3+2}{3}\right)+0\times 5\right)^{3}+\frac{2}{3}$$

\frac{20}{3} hosil qilish uchun \frac{4}{9} va 15 ni ko'paytirish.

$$\frac{1}{3}-\left(\frac{20}{3}-\left(0\times 5+\frac{2\times 3+2}{3}\right)+0\times 5\right)^{3}+\frac{2}{3}$$

0 hosil qilish uchun 0 va 5 ni ko'paytirish.

$$\frac{1}{3}-\left(\frac{20}{3}-\left(0+\frac{2\times 3+2}{3}\right)+0\times 5\right)^{3}+\frac{2}{3}$$

6 hosil qilish uchun 2 va 3 ni ko'paytirish.

$$\frac{1}{3}-\left(\frac{20}{3}-\left(0+\frac{6+2}{3}\right)+0\times 5\right)^{3}+\frac{2}{3}$$

8 olish uchun 6 va 2'ni qo'shing.

$$\frac{1}{3}-\left(\frac{20}{3}-\left(0+\frac{8}{3}\right)+0\times 5\right)^{3}+\frac{2}{3}$$

\frac{8}{3} olish uchun 0 va \frac{8}{3}'ni qo'shing.

$$\frac{1}{3}-\left(\frac{20}{3}-\frac{8}{3}+0\times 5\right)^{3}+\frac{2}{3}$$

4 olish uchun \frac{20}{3} dan \frac{8}{3} ni ayirish.

$$\frac{1}{3}-\left(4+0\times 5\right)^{3}+\frac{2}{3}$$

0 hosil qilish uchun 0 va 5 ni ko'paytirish.

$$\frac{1}{3}-\left(4+0\right)^{3}+\frac{2}{3}$$

4 olish uchun 4 va 0'ni qo'shing.

$$\frac{1}{3}-4^{3}+\frac{2}{3}$$

3 daraja ko‘rsatkichini 4 ga hisoblang va 64 ni qiymatni oling.

$$\frac{1}{3}-64+\frac{2}{3}$$

-\frac{191}{3} olish uchun \frac{1}{3} dan 64 ni ayirish.

$$-\frac{191}{3}+\frac{2}{3}$$

-63 olish uchun -\frac{191}{3} va \frac{2}{3}'ni qo'shing.

$$-63$$

Omil

$$-63$$