[(2/3)^{2}*(-2/3)^{3}*(-2/3)^{4}]^{2}:[-(-2/3)^{5}]^3+(-frac{2}{3})^3-(frac{2}{7})^4*(-frac{7}{4})^4 eching

$$[ ( \frac { 2 } { 3 } ) ^ { 2 } \cdot ( - \frac { 2 } { 3 } ) ^ { 3 } \cdot ( - \frac { 2 } { 3 } ) ^ { 4 } ] ^ { 2 } : [ - ( - \frac { 2 } { 3 } ) ^ { 5 } ] ^ { 3 } + ( - \frac { 2 } { 3 } ) ^ { 3 } - ( \frac { 2 } { 7 } ) ^ { 4 } \cdot ( - \frac { 7 } { 4 } ) ^ { 4 }$$

Baholash

$$-\frac{1}{16}=-0,0625$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va 4 ni qo‘shib, 7 ni oling.

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

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

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

7 daraja ko‘rsatkichini -\frac{2}{3} ga hisoblang va -\frac{128}{2187} ni qiymatni oling.

$$\frac{\left(\frac{4}{9}\left(-\frac{128}{2187}\right)\right)^{2}}{\left(-\left(-\frac{2}{3}\right)^{5}\right)^{3}}+\left(-\frac{2}{3}\right)^{3}-\left(\frac{2}{7}\right)^{4}\left(-\frac{7}{4}\right)^{4}$$

-\frac{512}{19683} hosil qilish uchun \frac{4}{9} va -\frac{128}{2187} ni ko'paytirish.

$$\frac{\left(-\frac{512}{19683}\right)^{2}}{\left(-\left(-\frac{2}{3}\right)^{5}\right)^{3}}+\left(-\frac{2}{3}\right)^{3}-\left(\frac{2}{7}\right)^{4}\left(-\frac{7}{4}\right)^{4}$$

2 daraja ko‘rsatkichini -\frac{512}{19683} ga hisoblang va \frac{262144}{387420489} ni qiymatni oling.

$$\frac{\frac{262144}{387420489}}{\left(-\left(-\frac{2}{3}\right)^{5}\right)^{3}}+\left(-\frac{2}{3}\right)^{3}-\left(\frac{2}{7}\right)^{4}\left(-\frac{7}{4}\right)^{4}$$

5 daraja ko‘rsatkichini -\frac{2}{3} ga hisoblang va -\frac{32}{243} ni qiymatni oling.

$$\frac{\frac{262144}{387420489}}{\left(-\left(-\frac{32}{243}\right)\right)^{3}}+\left(-\frac{2}{3}\right)^{3}-\left(\frac{2}{7}\right)^{4}\left(-\frac{7}{4}\right)^{4}$$

-\frac{32}{243} ning teskarisi \frac{32}{243} ga teng.

$$\frac{\frac{262144}{387420489}}{\left(\frac{32}{243}\right)^{3}}+\left(-\frac{2}{3}\right)^{3}-\left(\frac{2}{7}\right)^{4}\left(-\frac{7}{4}\right)^{4}$$

3 daraja ko‘rsatkichini \frac{32}{243} ga hisoblang va \frac{32768}{14348907} ni qiymatni oling.

$$\frac{\frac{262144}{387420489}}{\frac{32768}{14348907}}+\left(-\frac{2}{3}\right)^{3}-\left(\frac{2}{7}\right)^{4}\left(-\frac{7}{4}\right)^{4}$$

\frac{262144}{387420489} ni \frac{32768}{14348907} ga bo'lish \frac{262144}{387420489} ga k'paytirish \frac{32768}{14348907} ga qaytarish.

$$\frac{262144}{387420489}\times \frac{14348907}{32768}+\left(-\frac{2}{3}\right)^{3}-\left(\frac{2}{7}\right)^{4}\left(-\frac{7}{4}\right)^{4}$$

\frac{8}{27} hosil qilish uchun \frac{262144}{387420489} va \frac{14348907}{32768} ni ko'paytirish.

$$\frac{8}{27}+\left(-\frac{2}{3}\right)^{3}-\left(\frac{2}{7}\right)^{4}\left(-\frac{7}{4}\right)^{4}$$

3 daraja ko‘rsatkichini -\frac{2}{3} ga hisoblang va -\frac{8}{27} ni qiymatni oling.

$$\frac{8}{27}-\frac{8}{27}-\left(\frac{2}{7}\right)^{4}\left(-\frac{7}{4}\right)^{4}$$

0 olish uchun \frac{8}{27} dan \frac{8}{27} ni ayirish.

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

4 daraja ko‘rsatkichini \frac{2}{7} ga hisoblang va \frac{16}{2401} ni qiymatni oling.

$$0-\frac{16}{2401}\left(-\frac{7}{4}\right)^{4}$$

4 daraja ko‘rsatkichini -\frac{7}{4} ga hisoblang va \frac{2401}{256} ni qiymatni oling.

$$0-\frac{16}{2401}\times \frac{2401}{256}$$

\frac{1}{16} hosil qilish uchun \frac{16}{2401} va \frac{2401}{256} ni ko'paytirish.

$$0-\frac{1}{16}$$

-\frac{1}{16} olish uchun 0 dan \frac{1}{16} ni ayirish.

$$-\frac{1}{16}$$

Omil

$$-\frac{1}{16} = -0,0625$$