frac{4^{-7}*16*32^3}{2^6*8^3*64^-2} eching

$$\frac { 4 ^ { - 7 } \cdot 16 \cdot 32 ^ { 3 } } { 2 ^ { 6 } \cdot 8 ^ { 3 } \cdot 64 ^ { - 2 } }$$

Baholash

$$4$$

Yechim qadamlari

-7 daraja ko‘rsatkichini 4 ga hisoblang va \frac{1}{16384} ni qiymatni oling.

$$\frac{\frac{1}{16384}\times 16\times 32^{3}}{2^{6}\times 8^{3}\times 64^{-2}}$$

\frac{1}{1024} hosil qilish uchun \frac{1}{16384} va 16 ni ko'paytirish.

$$\frac{\frac{1}{1024}\times 32^{3}}{2^{6}\times 8^{3}\times 64^{-2}}$$

3 daraja ko‘rsatkichini 32 ga hisoblang va 32768 ni qiymatni oling.

$$\frac{\frac{1}{1024}\times 32768}{2^{6}\times 8^{3}\times 64^{-2}}$$

32 hosil qilish uchun \frac{1}{1024} va 32768 ni ko'paytirish.

$$\frac{32}{2^{6}\times 8^{3}\times 64^{-2}}$$

6 daraja ko‘rsatkichini 2 ga hisoblang va 64 ni qiymatni oling.

$$\frac{32}{64\times 8^{3}\times 64^{-2}}$$

3 daraja ko‘rsatkichini 8 ga hisoblang va 512 ni qiymatni oling.

$$\frac{32}{64\times 512\times 64^{-2}}$$

32768 hosil qilish uchun 64 va 512 ni ko'paytirish.

$$\frac{32}{32768\times 64^{-2}}$$

-2 daraja ko‘rsatkichini 64 ga hisoblang va \frac{1}{4096} ni qiymatni oling.

$$\frac{32}{32768\times \frac{1}{4096}}$$

8 hosil qilish uchun 32768 va \frac{1}{4096} ni ko'paytirish.

$$\frac{32}{8}$$

4 ni olish uchun 32 ni 8 ga bo‘ling.

$$4$$

Omil

$$2^{2}$$