04-1/2+{left(frac{5/6right)}^-2}{{left(1/2^-1right)}^-1}+113410^-6/56710^-7-01^2-{left(frac{1-frac{1}{2}}{frac{-1}{4}-2}right)}^-1 eching

$$\frac{ 04 \frac{ -1 }{ 2 } + { \left( \frac{ 5 }{ 6 } \right) }^{ -2 } }{ { \left( \frac{ 1 }{ { 2 }^{ -1 } } \right) }^{ -1 } } + \frac{ 1134 { 10 }^{ -6 } }{ 567 { 10 }^{ -7 } } { -01 }^{ 2 } - { \left( \frac{ 1- \frac{ 1 }{ 2 } }{ \frac{ -1 }{ 4 } -2 } \right) }^{ -1 }$$

Baholash

$$\frac{369}{50}=7,38$$

Yechim qadamlari

0 hosil qilish uchun 0 va 4 ni ko'paytirish.

$$\frac{0\times \frac{-1}{2}+\left(\frac{5}{6}\right)^{-2}}{\left(\frac{1}{2^{-1}}\right)^{-1}}+\frac{1134\times 10^{-6}}{567\times 10^{-7}}\times \left(0\times 1\right)^{2}-\left(\frac{1-\frac{1}{2}}{\frac{-1}{4}-2}\right)^{-1}$$

\frac{-1}{2} kasri manfiy belgini olib tashlash bilan -\frac{1}{2} sifatida qayta yozilishi mumkin.

$$\frac{0\left(-\frac{1}{2}\right)+\left(\frac{5}{6}\right)^{-2}}{\left(\frac{1}{2^{-1}}\right)^{-1}}+\frac{1134\times 10^{-6}}{567\times 10^{-7}}\times \left(0\times 1\right)^{2}-\left(\frac{1-\frac{1}{2}}{\frac{-1}{4}-2}\right)^{-1}$$

0 hosil qilish uchun 0 va -\frac{1}{2} ni ko'paytirish.

$$\frac{0+\left(\frac{5}{6}\right)^{-2}}{\left(\frac{1}{2^{-1}}\right)^{-1}}+\frac{1134\times 10^{-6}}{567\times 10^{-7}}\times \left(0\times 1\right)^{2}-\left(\frac{1-\frac{1}{2}}{\frac{-1}{4}-2}\right)^{-1}$$

-2 daraja ko‘rsatkichini \frac{5}{6} ga hisoblang va \frac{36}{25} ni qiymatni oling.

$$\frac{0+\frac{36}{25}}{\left(\frac{1}{2^{-1}}\right)^{-1}}+\frac{1134\times 10^{-6}}{567\times 10^{-7}}\times \left(0\times 1\right)^{2}-\left(\frac{1-\frac{1}{2}}{\frac{-1}{4}-2}\right)^{-1}$$

\frac{36}{25} olish uchun 0 va \frac{36}{25}'ni qo'shing.

$$\frac{\frac{36}{25}}{\left(\frac{1}{2^{-1}}\right)^{-1}}+\frac{1134\times 10^{-6}}{567\times 10^{-7}}\times \left(0\times 1\right)^{2}-\left(\frac{1-\frac{1}{2}}{\frac{-1}{4}-2}\right)^{-1}$$

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

$$\frac{\frac{36}{25}}{\left(\frac{1}{\frac{1}{2}}\right)^{-1}}+\frac{1134\times 10^{-6}}{567\times 10^{-7}}\times \left(0\times 1\right)^{2}-\left(\frac{1-\frac{1}{2}}{\frac{-1}{4}-2}\right)^{-1}$$

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

$$\frac{\frac{36}{25}}{\left(1\times 2\right)^{-1}}+\frac{1134\times 10^{-6}}{567\times 10^{-7}}\times \left(0\times 1\right)^{2}-\left(\frac{1-\frac{1}{2}}{\frac{-1}{4}-2}\right)^{-1}$$

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

$$\frac{\frac{36}{25}}{2^{-1}}+\frac{1134\times 10^{-6}}{567\times 10^{-7}}\times \left(0\times 1\right)^{2}-\left(\frac{1-\frac{1}{2}}{\frac{-1}{4}-2}\right)^{-1}$$

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

$$\frac{\frac{36}{25}}{\frac{1}{2}}+\frac{1134\times 10^{-6}}{567\times 10^{-7}}\times \left(0\times 1\right)^{2}-\left(\frac{1-\frac{1}{2}}{\frac{-1}{4}-2}\right)^{-1}$$

\frac{36}{25} ni \frac{1}{2} ga bo'lish \frac{36}{25} ga k'paytirish \frac{1}{2} ga qaytarish.

$$\frac{36}{25}\times 2+\frac{1134\times 10^{-6}}{567\times 10^{-7}}\times \left(0\times 1\right)^{2}-\left(\frac{1-\frac{1}{2}}{\frac{-1}{4}-2}\right)^{-1}$$

\frac{72}{25} hosil qilish uchun \frac{36}{25} va 2 ni ko'paytirish.

$$\frac{72}{25}+\frac{1134\times 10^{-6}}{567\times 10^{-7}}\times \left(0\times 1\right)^{2}-\left(\frac{1-\frac{1}{2}}{\frac{-1}{4}-2}\right)^{-1}$$

Surat va maxrajdagi ikkala 567 ni qisqartiring.

$$\frac{72}{25}+\frac{2\times 10^{-6}}{10^{-7}}\times \left(0\times 1\right)^{2}-\left(\frac{1-\frac{1}{2}}{\frac{-1}{4}-2}\right)^{-1}$$

Ayni asosning daraja ko'rsatkichi bo'lish uchun maxrajning darajasini surat darajasidan bo'ling.

$$\frac{72}{25}+2\times 10^{1}\times \left(0\times 1\right)^{2}-\left(\frac{1-\frac{1}{2}}{\frac{-1}{4}-2}\right)^{-1}$$

1 daraja ko‘rsatkichini 10 ga hisoblang va 10 ni qiymatni oling.

$$\frac{72}{25}+2\times 10\times \left(0\times 1\right)^{2}-\left(\frac{1-\frac{1}{2}}{\frac{-1}{4}-2}\right)^{-1}$$

20 hosil qilish uchun 2 va 10 ni ko'paytirish.

$$\frac{72}{25}+20\times \left(0\times 1\right)^{2}-\left(\frac{1-\frac{1}{2}}{\frac{-1}{4}-2}\right)^{-1}$$

0 hosil qilish uchun 0 va 1 ni ko'paytirish.

$$\frac{72}{25}+20\times 0^{2}-\left(\frac{1-\frac{1}{2}}{\frac{-1}{4}-2}\right)^{-1}$$

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

$$\frac{72}{25}+20\times 0-\left(\frac{1-\frac{1}{2}}{\frac{-1}{4}-2}\right)^{-1}$$

0 hosil qilish uchun 20 va 0 ni ko'paytirish.

$$\frac{72}{25}+0-\left(\frac{1-\frac{1}{2}}{\frac{-1}{4}-2}\right)^{-1}$$

\frac{72}{25} olish uchun \frac{72}{25} va 0'ni qo'shing.

$$\frac{72}{25}-\left(\frac{1-\frac{1}{2}}{\frac{-1}{4}-2}\right)^{-1}$$

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

$$\frac{72}{25}-\left(\frac{\frac{1}{2}}{\frac{-1}{4}-2}\right)^{-1}$$

\frac{-1}{4} kasri manfiy belgini olib tashlash bilan -\frac{1}{4} sifatida qayta yozilishi mumkin.

$$\frac{72}{25}-\left(\frac{\frac{1}{2}}{-\frac{1}{4}-2}\right)^{-1}$$

-\frac{9}{4} olish uchun -\frac{1}{4} dan 2 ni ayirish.

$$\frac{72}{25}-\left(\frac{\frac{1}{2}}{-\frac{9}{4}}\right)^{-1}$$

\frac{1}{2} ni -\frac{9}{4} ga bo'lish \frac{1}{2} ga k'paytirish -\frac{9}{4} ga qaytarish.

$$\frac{72}{25}-\left(\frac{1}{2}\left(-\frac{4}{9}\right)\right)^{-1}$$

-\frac{2}{9} hosil qilish uchun \frac{1}{2} va -\frac{4}{9} ni ko'paytirish.

$$\frac{72}{25}-\left(-\frac{2}{9}\right)^{-1}$$

-1 daraja ko‘rsatkichini -\frac{2}{9} ga hisoblang va -\frac{9}{2} ni qiymatni oling.

$$\frac{72}{25}-\left(-\frac{9}{2}\right)$$

-\frac{9}{2} ning teskarisi \frac{9}{2} ga teng.

$$\frac{72}{25}+\frac{9}{2}$$

\frac{369}{50} olish uchun \frac{72}{25} va \frac{9}{2}'ni qo'shing.

$$\frac{369}{50}$$

Omil

$$\frac{3 ^ {2} \cdot 41}{2 \cdot 5 ^ {2}} = 7\frac{19}{50} = 7,38$$