(1/3)^-3*(-2)^3*(-1/3)^-2*(2/3)^-3 eching

$$( \frac { 1 } { 3 } ) ^ { - 3 } \times ( - 2 ) ^ { 3 } \times ( \frac { - 1 } { 3 } ) ^ { - 2 } \times ( \frac { 2 } { 3 } ) ^ { - 3 }$$

Baholash

$$-6561$$

Yechim qadamlari

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

$$27\left(-2\right)^{3}\times \left(\frac{-1}{3}\right)^{-2}\times \left(\frac{2}{3}\right)^{-3}$$

3 daraja ko‘rsatkichini -2 ga hisoblang va -8 ni qiymatni oling.

$$27\left(-8\right)\times \left(\frac{-1}{3}\right)^{-2}\times \left(\frac{2}{3}\right)^{-3}$$

-216 hosil qilish uchun 27 va -8 ni ko'paytirish.

$$-216\times \left(\frac{-1}{3}\right)^{-2}\times \left(\frac{2}{3}\right)^{-3}$$

\frac{-1}{3} kasri manfiy belgini olib tashlash bilan -\frac{1}{3} sifatida qayta yozilishi mumkin.

$$-216\left(-\frac{1}{3}\right)^{-2}\times \left(\frac{2}{3}\right)^{-3}$$

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

$$-216\times 9\times \left(\frac{2}{3}\right)^{-3}$$

-1944 hosil qilish uchun -216 va 9 ni ko'paytirish.

$$-1944\times \left(\frac{2}{3}\right)^{-3}$$

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

$$-1944\times \frac{27}{8}$$

-6561 hosil qilish uchun -1944 va \frac{27}{8} ni ko'paytirish.

$$-6561$$

Omil

$$-6561$$