(0.1)^-1-(0.8)^0/(2frac{2{3})(2/3)^-3(-1/3)^-1} eching

$$\frac { ( 0.1 ) ^ { - 1 } - ( 0.8 ) ^ { 0 } } { ( 2 \frac { 2 } { 3 } ) ( \frac { 2 } { 3 } ) ^ { - 3 } ( \frac { - 1 } { 3 } ) ^ { - 1 } }$$

Baholash

$$-\frac{1}{3}\approx -0,333333333$$

Yechim qadamlari

-1 daraja ko‘rsatkichini 0,1 ga hisoblang va 10 ni qiymatni oling.

$$\frac{10-0,8^{0}}{\frac{2\times 3+2}{3}\times \left(\frac{2}{3}\right)^{-3}\times \left(\frac{-1}{3}\right)^{-1}}$$

0 daraja ko‘rsatkichini 0,8 ga hisoblang va 1 ni qiymatni oling.

$$\frac{10-1}{\frac{2\times 3+2}{3}\times \left(\frac{2}{3}\right)^{-3}\times \left(\frac{-1}{3}\right)^{-1}}$$

9 olish uchun 10 dan 1 ni ayirish.

$$\frac{9}{\frac{2\times 3+2}{3}\times \left(\frac{2}{3}\right)^{-3}\times \left(\frac{-1}{3}\right)^{-1}}$$

6 hosil qilish uchun 2 va 3 ni ko'paytirish.

$$\frac{9}{\frac{6+2}{3}\times \left(\frac{2}{3}\right)^{-3}\times \left(\frac{-1}{3}\right)^{-1}}$$

8 olish uchun 6 va 2'ni qo'shing.

$$\frac{9}{\frac{8}{3}\times \left(\frac{2}{3}\right)^{-3}\times \left(\frac{-1}{3}\right)^{-1}}$$

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

$$\frac{9}{\frac{8}{3}\times \frac{27}{8}\times \left(\frac{-1}{3}\right)^{-1}}$$

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

$$\frac{9}{9\times \left(\frac{-1}{3}\right)^{-1}}$$

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

$$\frac{9}{9\left(-\frac{1}{3}\right)^{-1}}$$

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

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

-27 hosil qilish uchun 9 va -3 ni ko'paytirish.

$$\frac{9}{-27}$$

\frac{9}{-27} ulushini 9 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{1}{3}$$

Omil

$$-\frac{1}{3} = -0,3333333333333333$$