-2^2*(1-3/4)^2+sqrt{frac{32/128}}{(-1^2-1)^3-4.75-31/4}-sqrt{1.96}+sqrt[3]{64}*0.1= eching

$$\frac { - 2 ^ { 2 } \cdot ( 1 - \frac { 3 } { 4 } ) ^ { 2 } + \sqrt { \frac { 32 } { 128 } } } { ( - 1 ^ { 2 } - 1 ) ^ { 3 } - 4.75 - 3 \frac { 1 } { 4 } } - \sqrt { 1.96 } + \sqrt[ 3 ] { 64 } \cdot 0.1 =$$

Baholash

$$-1,015625$$

Yechim qadamlari

2 daraja ko‘rsatkichini 2 ga hisoblang va 4 ni qiymatni oling.

$$\frac{-4\left(1-\frac{3}{4}\right)^{2}+\sqrt{\frac{32}{128}}}{\left(-1^{2}-1\right)^{3}-4,75-\frac{3\times 4+1}{4}}-\sqrt{1,96}+\sqrt[3]{64}\times 0,1$$

\frac{1}{4} olish uchun 1 dan \frac{3}{4} ni ayirish.

$$\frac{-4\times \left(\frac{1}{4}\right)^{2}+\sqrt{\frac{32}{128}}}{\left(-1^{2}-1\right)^{3}-4,75-\frac{3\times 4+1}{4}}-\sqrt{1,96}+\sqrt[3]{64}\times 0,1$$

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

$$\frac{-4\times \frac{1}{16}+\sqrt{\frac{32}{128}}}{\left(-1^{2}-1\right)^{3}-4,75-\frac{3\times 4+1}{4}}-\sqrt{1,96}+\sqrt[3]{64}\times 0,1$$

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

$$\frac{-\frac{1}{4}+\sqrt{\frac{32}{128}}}{\left(-1^{2}-1\right)^{3}-4,75-\frac{3\times 4+1}{4}}-\sqrt{1,96}+\sqrt[3]{64}\times 0,1$$

\frac{32}{128} ulushini 32 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{-\frac{1}{4}+\sqrt{\frac{1}{4}}}{\left(-1^{2}-1\right)^{3}-4,75-\frac{3\times 4+1}{4}}-\sqrt{1,96}+\sqrt[3]{64}\times 0,1$$

\frac{1}{4} boʻlinmasining kvadrat ildizini \frac{\sqrt{1}}{\sqrt{4}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing. Surat va maxrajni kvadrat ildizdan chiqaring.

$$\frac{-\frac{1}{4}+\frac{1}{2}}{\left(-1^{2}-1\right)^{3}-4,75-\frac{3\times 4+1}{4}}-\sqrt{1,96}+\sqrt[3]{64}\times 0,1$$

\frac{1}{4} olish uchun -\frac{1}{4} va \frac{1}{2}'ni qo'shing.

$$\frac{\frac{1}{4}}{\left(-1^{2}-1\right)^{3}-4,75-\frac{3\times 4+1}{4}}-\sqrt{1,96}+\sqrt[3]{64}\times 0,1$$

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

$$\frac{\frac{1}{4}}{\left(-1-1\right)^{3}-4,75-\frac{3\times 4+1}{4}}-\sqrt{1,96}+\sqrt[3]{64}\times 0,1$$

-2 olish uchun -1 dan 1 ni ayirish.

$$\frac{\frac{1}{4}}{\left(-2\right)^{3}-4,75-\frac{3\times 4+1}{4}}-\sqrt{1,96}+\sqrt[3]{64}\times 0,1$$

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

$$\frac{\frac{1}{4}}{-8-4,75-\frac{3\times 4+1}{4}}-\sqrt{1,96}+\sqrt[3]{64}\times 0,1$$

-12,75 olish uchun -8 dan 4,75 ni ayirish.

$$\frac{\frac{1}{4}}{-12,75-\frac{3\times 4+1}{4}}-\sqrt{1,96}+\sqrt[3]{64}\times 0,1$$

12 hosil qilish uchun 3 va 4 ni ko'paytirish.

$$\frac{\frac{1}{4}}{-12,75-\frac{12+1}{4}}-\sqrt{1,96}+\sqrt[3]{64}\times 0,1$$

13 olish uchun 12 va 1'ni qo'shing.

$$\frac{\frac{1}{4}}{-12,75-\frac{13}{4}}-\sqrt{1,96}+\sqrt[3]{64}\times 0,1$$

-16 olish uchun -12,75 dan \frac{13}{4} ni ayirish.

$$\frac{\frac{1}{4}}{-16}-\sqrt{1,96}+\sqrt[3]{64}\times 0,1$$

\frac{\frac{1}{4}}{-16} ni yagona kasrga aylantiring.

$$\frac{1}{4\left(-16\right)}-\sqrt{1,96}+\sqrt[3]{64}\times 0,1$$

-64 hosil qilish uchun 4 va -16 ni ko'paytirish.

$$\frac{1}{-64}-\sqrt{1,96}+\sqrt[3]{64}\times 0,1$$

\frac{1}{-64} kasri manfiy belgini olib tashlash bilan -\frac{1}{64} sifatida qayta yozilishi mumkin.

$$-\frac{1}{64}-\sqrt{1,96}+\sqrt[3]{64}\times 0,1$$

1,96 ning kvadrat ildizini hisoblab, 1,4 natijaga ega bo‘ling.

$$-\frac{1}{64}-1,4+\sqrt[3]{64}\times 0,1$$

-\frac{453}{320} olish uchun -\frac{1}{64} dan 1,4 ni ayirish.

$$-\frac{453}{320}+\sqrt[3]{64}\times 0,1$$

\sqrt[3]{64} ni hisoblab, 4 natijasiga ega bo‘ling.

$$-\frac{453}{320}+4\times 0,1$$

0,4 hosil qilish uchun 4 va 0,1 ni ko'paytirish.

$$-\frac{453}{320}+0,4$$

-\frac{65}{64} olish uchun -\frac{453}{320} va 0,4'ni qo'shing.

$$-\frac{65}{64}$$

Omil

$$-1,015625$$