(7/8)^3div(8/7)^-3-(1/3-1)^0+3^-1 eching

$$( \frac { 7 } { 8 } ) ^ { 3 } \div ( \frac { 8 } { 7 } ) ^ { - 3 } - ( \frac { 1 } { 3 } - 1 ) ^ { 0 } + 3 ^ { - 1 }$$

Baholash

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

Yechim qadamlari

3 daraja ko‘rsatkichini \frac{7}{8} ga hisoblang va \frac{343}{512} ni qiymatni oling.

$$\frac{\frac{343}{512}}{\left(\frac{8}{7}\right)^{-3}}-\left(\frac{1}{3}-1\right)^{0}+3^{-1}$$

-3 daraja ko‘rsatkichini \frac{8}{7} ga hisoblang va \frac{343}{512} ni qiymatni oling.

$$\frac{\frac{343}{512}}{\frac{343}{512}}-\left(\frac{1}{3}-1\right)^{0}+3^{-1}$$

1 ni olish uchun \frac{343}{512} ni \frac{343}{512} ga bo‘ling.

$$1-\left(\frac{1}{3}-1\right)^{0}+3^{-1}$$

-\frac{2}{3} olish uchun \frac{1}{3} dan 1 ni ayirish.

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

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

$$1-1+3^{-1}$$

0 olish uchun 1 dan 1 ni ayirish.

$$0+3^{-1}$$

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

$$0+\frac{1}{3}$$

\frac{1}{3} olish uchun 0 va \frac{1}{3}'ni qo'shing.

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

Omil

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