-2^2*(1-3/4)^2+sqrt{frac{32/128}}{(-1^2-1)^3-475-31/4}-sqrt{196}+sqrt[3]{64}*01= eching

$$\frac { - 2 ^ { 2 } \cdot ( 1 - \frac { 3 } { 4 } ) ^ { 2 } + \sqrt { \frac { 32 } { 128 } } } { ( - 1 ^ { 2 } - 1 ) ^ { 3 } - 475 - 3 \frac { 1 } { 4 } } - \sqrt { 196 } + \sqrt[ 3 ] { 64 } \cdot 01 =$$

Baholash

$$-\frac{27231}{1945}\approx -14,000514139$$

Yechim qadamlari

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

$$\frac{-4\left(1-\frac{3}{4}\right)^{2}+\sqrt{\frac{32}{128}}}{\left(-1^{2}-1\right)^{3}-475-\frac{3\times 4+1}{4}}-\sqrt{196}+\sqrt[3]{64}\times 0\times 1$$

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

$$\frac{-4\times \left(\frac{1}{4}\right)^{2}+\sqrt{\frac{32}{128}}}{\left(-1^{2}-1\right)^{3}-475-\frac{3\times 4+1}{4}}-\sqrt{196}+\sqrt[3]{64}\times 0\times 1$$

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

$$\frac{-4\times \frac{1}{16}+\sqrt{\frac{32}{128}}}{\left(-1^{2}-1\right)^{3}-475-\frac{3\times 4+1}{4}}-\sqrt{196}+\sqrt[3]{64}\times 0\times 1$$

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

$$\frac{-\frac{1}{4}+\sqrt{\frac{32}{128}}}{\left(-1^{2}-1\right)^{3}-475-\frac{3\times 4+1}{4}}-\sqrt{196}+\sqrt[3]{64}\times 0\times 1$$

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

$$\frac{-\frac{1}{4}+\sqrt{\frac{1}{4}}}{\left(-1^{2}-1\right)^{3}-475-\frac{3\times 4+1}{4}}-\sqrt{196}+\sqrt[3]{64}\times 0\times 1$$

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

$$\frac{-\frac{1}{4}+\frac{1}{2}}{\left(-1^{2}-1\right)^{3}-475-\frac{3\times 4+1}{4}}-\sqrt{196}+\sqrt[3]{64}\times 0\times 1$$

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

$$\frac{\frac{1}{4}}{\left(-1^{2}-1\right)^{3}-475-\frac{3\times 4+1}{4}}-\sqrt{196}+\sqrt[3]{64}\times 0\times 1$$

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

$$\frac{\frac{1}{4}}{\left(-1-1\right)^{3}-475-\frac{3\times 4+1}{4}}-\sqrt{196}+\sqrt[3]{64}\times 0\times 1$$

-2 olish uchun -1 dan 1 ni ayirish.

$$\frac{\frac{1}{4}}{\left(-2\right)^{3}-475-\frac{3\times 4+1}{4}}-\sqrt{196}+\sqrt[3]{64}\times 0\times 1$$

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

$$\frac{\frac{1}{4}}{-8-475-\frac{3\times 4+1}{4}}-\sqrt{196}+\sqrt[3]{64}\times 0\times 1$$

-483 olish uchun -8 dan 475 ni ayirish.

$$\frac{\frac{1}{4}}{-483-\frac{3\times 4+1}{4}}-\sqrt{196}+\sqrt[3]{64}\times 0\times 1$$

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

$$\frac{\frac{1}{4}}{-483-\frac{12+1}{4}}-\sqrt{196}+\sqrt[3]{64}\times 0\times 1$$

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

$$\frac{\frac{1}{4}}{-483-\frac{13}{4}}-\sqrt{196}+\sqrt[3]{64}\times 0\times 1$$

-\frac{1945}{4} olish uchun -483 dan \frac{13}{4} ni ayirish.

$$\frac{\frac{1}{4}}{-\frac{1945}{4}}-\sqrt{196}+\sqrt[3]{64}\times 0\times 1$$

\frac{1}{4} ni -\frac{1945}{4} ga bo'lish \frac{1}{4} ga k'paytirish -\frac{1945}{4} ga qaytarish.

$$\frac{1}{4}\left(-\frac{4}{1945}\right)-\sqrt{196}+\sqrt[3]{64}\times 0\times 1$$

-\frac{1}{1945} hosil qilish uchun \frac{1}{4} va -\frac{4}{1945} ni ko'paytirish.

$$-\frac{1}{1945}-\sqrt{196}+\sqrt[3]{64}\times 0\times 1$$

196 ning kvadrat ildizini hisoblab, 14 natijaga ega bo‘ling.

$$-\frac{1}{1945}-14+\sqrt[3]{64}\times 0\times 1$$

-\frac{27231}{1945} olish uchun -\frac{1}{1945} dan 14 ni ayirish.

$$-\frac{27231}{1945}+\sqrt[3]{64}\times 0\times 1$$

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

$$-\frac{27231}{1945}+4\times 0\times 1$$

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

$$-\frac{27231}{1945}+0\times 1$$

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

$$-\frac{27231}{1945}+0$$

-\frac{27231}{1945} olish uchun -\frac{27231}{1945} va 0'ni qo'shing.

$$-\frac{27231}{1945}$$

Omil

$$-\frac{27231}{1945} = -14\frac{1}{1945} = -14,000514138817481$$