frac{1/2^{-3}-1/2^-1}{1^-3/2^9-1-3/2^3} eching

$$\frac { \frac { 1 } { 2 ^ { - 3 } } - \frac { 1 } { 2 ^ { - 1 } } } { \frac { 1 ^ { - 3 } } { 2 ^ { 9 } } - \frac { 1 - 3 } { 2 ^ { 3 } } }$$

Baholash

$$\frac{1024}{43}\approx 23,813953488$$

Yechim qadamlari

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

$$\frac{\frac{1}{\frac{1}{8}}-\frac{1}{2^{-1}}}{\frac{1^{-3}}{2^{9}}-\frac{1-3}{2^{3}}}$$

1 ni \frac{1}{8} ga bo'lish 1 ga k'paytirish \frac{1}{8} ga qaytarish.

$$\frac{1\times 8-\frac{1}{2^{-1}}}{\frac{1^{-3}}{2^{9}}-\frac{1-3}{2^{3}}}$$

8 hosil qilish uchun 1 va 8 ni ko'paytirish.

$$\frac{8-\frac{1}{2^{-1}}}{\frac{1^{-3}}{2^{9}}-\frac{1-3}{2^{3}}}$$

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

$$\frac{8-\frac{1}{\frac{1}{2}}}{\frac{1^{-3}}{2^{9}}-\frac{1-3}{2^{3}}}$$

1 ni \frac{1}{2} ga bo'lish 1 ga k'paytirish \frac{1}{2} ga qaytarish.

$$\frac{8-1\times 2}{\frac{1^{-3}}{2^{9}}-\frac{1-3}{2^{3}}}$$

2 hosil qilish uchun 1 va 2 ni ko'paytirish.

$$\frac{8-2}{\frac{1^{-3}}{2^{9}}-\frac{1-3}{2^{3}}}$$

6 olish uchun 8 dan 2 ni ayirish.

$$\frac{6}{\frac{1^{-3}}{2^{9}}-\frac{1-3}{2^{3}}}$$

-3 daraja ko‘rsatkichini 1 ga hisoblang va 1 ni qiymatni oling.

$$\frac{6}{\frac{1}{2^{9}}-\frac{1-3}{2^{3}}}$$

9 daraja ko‘rsatkichini 2 ga hisoblang va 512 ni qiymatni oling.

$$\frac{6}{\frac{1}{512}-\frac{1-3}{2^{3}}}$$

-2 olish uchun 1 dan 3 ni ayirish.

$$\frac{6}{\frac{1}{512}-\frac{-2}{2^{3}}}$$

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

$$\frac{6}{\frac{1}{512}-\frac{-2}{8}}$$

\frac{-2}{8} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{6}{\frac{1}{512}-\left(-\frac{1}{4}\right)}$$

-\frac{1}{4} ning teskarisi \frac{1}{4} ga teng.

$$\frac{6}{\frac{1}{512}+\frac{1}{4}}$$

\frac{129}{512} olish uchun \frac{1}{512} va \frac{1}{4}'ni qo'shing.

$$\frac{6}{\frac{129}{512}}$$

6 ni \frac{129}{512} ga bo'lish 6 ga k'paytirish \frac{129}{512} ga qaytarish.

$$6\times \frac{512}{129}$$

\frac{1024}{43} hosil qilish uchun 6 va \frac{512}{129} ni ko'paytirish.

$$\frac{1024}{43}$$

Omil

$$\frac{2 ^ {10}}{43} = 23\frac{35}{43} = 23,813953488372093$$