frac{2^{0}+2^-1+2}{2^-2+2^-3+2^-4} eching

$$\frac { 2 ^ { 0 } + 2 ^ { - 1 } + 2 } { 2 ^ { - 2 } + 2 ^ { - 3 } + 2 ^ { - 4 } }$$

Baholash

$$8$$

Yechim qadamlari

0 daraja ko‘rsatkichini 2 ga hisoblang va 1 ni qiymatni oling.

$$\frac{1+2^{-1}+2}{2^{-2}+2^{-3}+2^{-4}}$$

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

$$\frac{1+\frac{1}{2}+2}{2^{-2}+2^{-3}+2^{-4}}$$

\frac{3}{2} olish uchun 1 va \frac{1}{2}'ni qo'shing.

$$\frac{\frac{3}{2}+2}{2^{-2}+2^{-3}+2^{-4}}$$

\frac{7}{2} olish uchun \frac{3}{2} va 2'ni qo'shing.

$$\frac{\frac{7}{2}}{2^{-2}+2^{-3}+2^{-4}}$$

-2 daraja ko‘rsatkichini 2 ga hisoblang va \frac{1}{4} ni qiymatni oling.

$$\frac{\frac{7}{2}}{\frac{1}{4}+2^{-3}+2^{-4}}$$

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

$$\frac{\frac{7}{2}}{\frac{1}{4}+\frac{1}{8}+2^{-4}}$$

\frac{3}{8} olish uchun \frac{1}{4} va \frac{1}{8}'ni qo'shing.

$$\frac{\frac{7}{2}}{\frac{3}{8}+2^{-4}}$$

-4 daraja ko‘rsatkichini 2 ga hisoblang va \frac{1}{16} ni qiymatni oling.

$$\frac{\frac{7}{2}}{\frac{3}{8}+\frac{1}{16}}$$

\frac{7}{16} olish uchun \frac{3}{8} va \frac{1}{16}'ni qo'shing.

$$\frac{\frac{7}{2}}{\frac{7}{16}}$$

\frac{7}{2} ni \frac{7}{16} ga bo'lish \frac{7}{2} ga k'paytirish \frac{7}{16} ga qaytarish.

$$\frac{7}{2}\times \frac{16}{7}$$

8 hosil qilish uchun \frac{7}{2} va \frac{16}{7} ni ko'paytirish.

$$8$$

Omil

$$2^{3}$$