[(-2/3)^{3}]^{2}:[(-2/3)^{11}:(-2/3)^{5}]+{[(-1/2)^{6}(-frac{1}{2})^5]:[(-frac{1}{2})^4]^2}^-1 eching

$$[ ( - \frac { 2 } { 3 } ) ^ { 3 } ] ^ { 2 } : [ ( - \frac { 2 } { 3 } ) ^ { 11 } : ( - \frac { 2 } { 3 } ) ^ { 5 } ] + \{ [ ( - \frac { 1 } { 2 } ) ^ { 6 } ( - \frac { 1 } { 2 } ) ^ { 5 } ] : [ ( - \frac { 1 } { 2 } ) ^ { 4 } ] ^ { 2 } \} ^ { - 1 }$$

Baholash

$$-7$$

Yechim qadamlari

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 3 va 2 ni ko‘paytirib, 6 ni oling.

$$\frac{\left(-\frac{2}{3}\right)^{6}}{\frac{\left(-\frac{2}{3}\right)^{11}}{\left(-\frac{2}{3}\right)^{5}}}+\left(\frac{\left(-\frac{1}{2}\right)^{6}\left(-\frac{1}{2}\right)^{5}}{\left(\left(-\frac{1}{2}\right)^{4}\right)^{2}}\right)^{-1}$$

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun maxrajning darajasini surat darajasidan ayiring. 11 dan 5 ni ayirib, 6 ni oling.

$$\frac{\left(-\frac{2}{3}\right)^{6}}{\left(-\frac{2}{3}\right)^{6}}+\left(\frac{\left(-\frac{1}{2}\right)^{6}\left(-\frac{1}{2}\right)^{5}}{\left(\left(-\frac{1}{2}\right)^{4}\right)^{2}}\right)^{-1}$$

1 ni olish uchun \left(-\frac{2}{3}\right)^{6} ni \left(-\frac{2}{3}\right)^{6} ga bo‘ling.

$$1+\left(\frac{\left(-\frac{1}{2}\right)^{6}\left(-\frac{1}{2}\right)^{5}}{\left(\left(-\frac{1}{2}\right)^{4}\right)^{2}}\right)^{-1}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 6 va 5 ni qo‘shib, 11 ni oling.

$$1+\left(\frac{\left(-\frac{1}{2}\right)^{11}}{\left(\left(-\frac{1}{2}\right)^{4}\right)^{2}}\right)^{-1}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 4 va 2 ni ko‘paytirib, 8 ni oling.

$$1+\left(\frac{\left(-\frac{1}{2}\right)^{11}}{\left(-\frac{1}{2}\right)^{8}}\right)^{-1}$$

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun maxrajning darajasini surat darajasidan ayiring. 11 dan 8 ni ayirib, 3 ni oling.

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

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 3 va -1 ni ko‘paytirib, -3 ni oling.

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

-3 daraja ko‘rsatkichini -\frac{1}{2} ga hisoblang va -8 ni qiymatni oling.

$$1-8$$

-7 olish uchun 1 dan 8 ni ayirish.

$$-7$$

Omil

$$-7$$