{[(-3/5)^{6}*(25/9)^2]^4:(9/5)^6*27^2}:(-3/25) eching

$$\{ [ ( - \frac { 3 } { 5 } ) ^ { 6 } \cdot ( \frac { 25 } { 9 } ) ^ { 2 } ] ^ { 4 } : ( \frac { 9 } { 5 } ) ^ { 6 } \cdot 27 ^ { 2 } \} : ( - \frac { 3 } { 25 } )$$

Baholash

$$-3$$

Yechim qadamlari

6 daraja ko‘rsatkichini -\frac{3}{5} ga hisoblang va \frac{729}{15625} ni qiymatni oling.

$$\frac{\frac{\left(\frac{729}{15625}\times \left(\frac{25}{9}\right)^{2}\right)^{4}}{\left(\frac{9}{5}\right)^{6}}\times 27^{2}}{-\frac{3}{25}}$$

2 daraja ko‘rsatkichini \frac{25}{9} ga hisoblang va \frac{625}{81} ni qiymatni oling.

$$\frac{\frac{\left(\frac{729}{15625}\times \frac{625}{81}\right)^{4}}{\left(\frac{9}{5}\right)^{6}}\times 27^{2}}{-\frac{3}{25}}$$

\frac{9}{25} hosil qilish uchun \frac{729}{15625} va \frac{625}{81} ni ko'paytirish.

$$\frac{\frac{\left(\frac{9}{25}\right)^{4}}{\left(\frac{9}{5}\right)^{6}}\times 27^{2}}{-\frac{3}{25}}$$

4 daraja ko‘rsatkichini \frac{9}{25} ga hisoblang va \frac{6561}{390625} ni qiymatni oling.

$$\frac{\frac{\frac{6561}{390625}}{\left(\frac{9}{5}\right)^{6}}\times 27^{2}}{-\frac{3}{25}}$$

6 daraja ko‘rsatkichini \frac{9}{5} ga hisoblang va \frac{531441}{15625} ni qiymatni oling.

$$\frac{\frac{\frac{6561}{390625}}{\frac{531441}{15625}}\times 27^{2}}{-\frac{3}{25}}$$

\frac{6561}{390625} ni \frac{531441}{15625} ga bo'lish \frac{6561}{390625} ga k'paytirish \frac{531441}{15625} ga qaytarish.

$$\frac{\frac{6561}{390625}\times \frac{15625}{531441}\times 27^{2}}{-\frac{3}{25}}$$

\frac{1}{2025} hosil qilish uchun \frac{6561}{390625} va \frac{15625}{531441} ni ko'paytirish.

$$\frac{\frac{1}{2025}\times 27^{2}}{-\frac{3}{25}}$$

2 daraja ko‘rsatkichini 27 ga hisoblang va 729 ni qiymatni oling.

$$\frac{\frac{1}{2025}\times 729}{-\frac{3}{25}}$$

\frac{9}{25} hosil qilish uchun \frac{1}{2025} va 729 ni ko'paytirish.

$$\frac{\frac{9}{25}}{-\frac{3}{25}}$$

\frac{9}{25} ni -\frac{3}{25} ga bo'lish \frac{9}{25} ga k'paytirish -\frac{3}{25} ga qaytarish.

$$\frac{9}{25}\left(-\frac{25}{3}\right)$$

-3 hosil qilish uchun \frac{9}{25} va -\frac{25}{3} ni ko'paytirish.

$$-3$$

Omil

$$-3$$