(frac{1/64*frac{sqrt{16}}{1})}{8^-2}*(16/1)^-frac{1{2}}+frac{sqrt{64}}{2^4*2^-1} eching

$$\frac { ( \frac { 1 } { 64 } \cdot \frac { \sqrt { 16 } } { 1 } ) } { 8 ^ { - 2 } } \cdot ( \frac { 16 } { 1 } ) ^ { - \frac { 1 } { 2 } } + \frac { \sqrt { 64 } } { 2 ^ { 4 } \cdot 2 ^ { - 1 } }$$

Baholash

$$2$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 4 va -1 ni qo‘shib, 3 ni oling.

$$\frac{\frac{1}{64}\times \frac{\sqrt{16}}{1}}{8^{-2}}\times \left(\frac{16}{1}\right)^{-\frac{1}{2}}+\frac{\sqrt{64}}{2^{3}}$$

16 ning kvadrat ildizini hisoblab, 4 natijaga ega bo‘ling.

$$\frac{\frac{1}{64}\times \frac{4}{1}}{8^{-2}}\times \left(\frac{16}{1}\right)^{-\frac{1}{2}}+\frac{\sqrt{64}}{2^{3}}$$

Har qanday son birga bo‘linganda, natija o‘zi chiqadi.

$$\frac{\frac{1}{64}\times 4}{8^{-2}}\times \left(\frac{16}{1}\right)^{-\frac{1}{2}}+\frac{\sqrt{64}}{2^{3}}$$

\frac{1}{16} hosil qilish uchun \frac{1}{64} va 4 ni ko'paytirish.

$$\frac{\frac{1}{16}}{8^{-2}}\times \left(\frac{16}{1}\right)^{-\frac{1}{2}}+\frac{\sqrt{64}}{2^{3}}$$

-2 daraja ko‘rsatkichini 8 ga hisoblang va \frac{1}{64} ni qiymatni oling.

$$\frac{\frac{1}{16}}{\frac{1}{64}}\times \left(\frac{16}{1}\right)^{-\frac{1}{2}}+\frac{\sqrt{64}}{2^{3}}$$

\frac{1}{16} ni \frac{1}{64} ga bo'lish \frac{1}{16} ga k'paytirish \frac{1}{64} ga qaytarish.

$$\frac{1}{16}\times 64\times \left(\frac{16}{1}\right)^{-\frac{1}{2}}+\frac{\sqrt{64}}{2^{3}}$$

4 hosil qilish uchun \frac{1}{16} va 64 ni ko'paytirish.

$$4\times \left(\frac{16}{1}\right)^{-\frac{1}{2}}+\frac{\sqrt{64}}{2^{3}}$$

Har qanday son birga bo‘linganda, natija o‘zi chiqadi.

$$4\times 16^{-\frac{1}{2}}+\frac{\sqrt{64}}{2^{3}}$$

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

$$4\times \frac{1}{4}+\frac{\sqrt{64}}{2^{3}}$$

1 hosil qilish uchun 4 va \frac{1}{4} ni ko'paytirish.

$$1+\frac{\sqrt{64}}{2^{3}}$$

64 ning kvadrat ildizini hisoblab, 8 natijaga ega bo‘ling.

$$1+\frac{8}{2^{3}}$$

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

$$1+\frac{8}{8}$$

1 ni olish uchun 8 ni 8 ga bo‘ling.

$$1+1$$

2 olish uchun 1 va 1'ni qo'shing.

$$2$$

Omil

$$2$$