(-2/3)^3*(2/3)^-2*(-2/3)^0 eching

$$( - \frac { 2 } { 3 } ) ^ { 3 } \cdot ( \frac { 2 } { 3 } ) ^ { - 2 } \cdot ( - \frac { 2 } { 3 } ) ^ { 0 }$$

Baholash

$$-\frac{2}{3}\approx -0,666666667$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va 0 ni qo‘shib, 3 ni oling.

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

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

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

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

$$-\frac{8}{27}\times \frac{9}{4}$$

-\frac{2}{3} hosil qilish uchun -\frac{8}{27} va \frac{9}{4} ni ko'paytirish.

$$-\frac{2}{3}$$

Omil

$$-\frac{2}{3} = -0,6666666666666666$$