(-2)^3*sqrt{(-4)^2}+sqrt[3]{(-4)^3}*(-1/2)^2-sqrt[3]{21} eching

$$( - 2 ) ^ { 3 } \times \sqrt { ( - 4 ) ^ { 2 } } + \sqrt[ 3 ] { ( - 4 ) ^ { 3 } } \times ( - \frac { 1 } { 2 } ) ^ { 2 } - \sqrt[ 3 ] { 21 }$$

Baholash

$$-\sqrt[3]{21}-33\approx -35,758924176$$

Yechim qadamlari

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

$$-8\sqrt{\left(-4\right)^{2}}+\sqrt[3]{\left(-4\right)^{3}}\left(-\frac{1}{2}\right)^{2}-\sqrt[3]{21}$$

2 daraja ko‘rsatkichini -4 ga hisoblang va 16 ni qiymatni oling.

$$-8\sqrt{16}+\sqrt[3]{\left(-4\right)^{3}}\left(-\frac{1}{2}\right)^{2}-\sqrt[3]{21}$$

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

$$-8\times 4+\sqrt[3]{\left(-4\right)^{3}}\left(-\frac{1}{2}\right)^{2}-\sqrt[3]{21}$$

-32 hosil qilish uchun -8 va 4 ni ko'paytirish.

$$-32+\sqrt[3]{\left(-4\right)^{3}}\left(-\frac{1}{2}\right)^{2}-\sqrt[3]{21}$$

3 daraja ko‘rsatkichini -4 ga hisoblang va -64 ni qiymatni oling.

$$-32+\sqrt[3]{-64}\left(-\frac{1}{2}\right)^{2}-\sqrt[3]{21}$$

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

$$-32-4\left(-\frac{1}{2}\right)^{2}-\sqrt[3]{21}$$

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

$$-32-4\times \frac{1}{4}-\sqrt[3]{21}$$

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

$$-32-1-\sqrt[3]{21}$$

-33 olish uchun -32 dan 1 ni ayirish.

$$-33-\sqrt[3]{21}$$

Omil

$$-\sqrt[3]{21}-33$$