(27/125)^frac{1{3}}*[(3/2)^-2div(2/5)^3]-4(3/7)^0 eching

$$( \frac { 27 } { 125 } ) ^ { \frac { 1 } { 3 } } \times [ ( \frac { 3 } { 2 } ) ^ { - 2 } \div ( \frac { 2 } { 5 } ) ^ { 3 } ] - 4 ( \frac { 3 } { 7 } ) ^ { 0 }$$

Baholash

$$\frac{1}{6}\approx 0,166666667$$

Yechim qadamlari

\frac{1}{3} daraja ko‘rsatkichini \frac{27}{125} ga hisoblang va \frac{3}{5} ni qiymatni oling.

$$\frac{3}{5}\times \frac{\left(\frac{3}{2}\right)^{-2}}{\left(\frac{2}{5}\right)^{3}}-4\times \left(\frac{3}{7}\right)^{0}$$

-2 daraja ko‘rsatkichini \frac{3}{2} ga hisoblang va \frac{4}{9} ni qiymatni oling.

$$\frac{3}{5}\times \frac{\frac{4}{9}}{\left(\frac{2}{5}\right)^{3}}-4\times \left(\frac{3}{7}\right)^{0}$$

3 daraja ko‘rsatkichini \frac{2}{5} ga hisoblang va \frac{8}{125} ni qiymatni oling.

$$\frac{3}{5}\times \frac{\frac{4}{9}}{\frac{8}{125}}-4\times \left(\frac{3}{7}\right)^{0}$$

\frac{4}{9} ni \frac{8}{125} ga bo'lish \frac{4}{9} ga k'paytirish \frac{8}{125} ga qaytarish.

$$\frac{3}{5}\times \frac{4}{9}\times \frac{125}{8}-4\times \left(\frac{3}{7}\right)^{0}$$

\frac{125}{18} hosil qilish uchun \frac{4}{9} va \frac{125}{8} ni ko'paytirish.

$$\frac{3}{5}\times \frac{125}{18}-4\times \left(\frac{3}{7}\right)^{0}$$

\frac{25}{6} hosil qilish uchun \frac{3}{5} va \frac{125}{18} ni ko'paytirish.

$$\frac{25}{6}-4\times \left(\frac{3}{7}\right)^{0}$$

0 daraja ko‘rsatkichini \frac{3}{7} ga hisoblang va 1 ni qiymatni oling.

$$\frac{25}{6}-4\times 1$$

4 hosil qilish uchun 4 va 1 ni ko'paytirish.

$$\frac{25}{6}-4$$

\frac{1}{6} olish uchun \frac{25}{6} dan 4 ni ayirish.

$$\frac{1}{6}$$

Omil

$$\frac{1}{2 \cdot 3} = 0,16666666666666666$$