(sqrt[3]{frac{1/216})^-1+3(2sqrt{9})^3-3sqrt{64}}{(-2)^0-(-1/2)+sqrt[4]{1/16}} eching

$$\frac { ( \sqrt[ 3 ] { \frac { 1 } { 216 } } ) ^ { - 1 } + 3 ( 2 \sqrt { 9 } ) ^ { 3 } - 3 \sqrt { 64 } } { ( - 2 ) ^ { 0 } - ( - \frac { 1 } { 2 } ) + \sqrt[ 4 ] { \frac { 1 } { 16 } } }$$

Baholash

$$315$$

Yechim qadamlari

\sqrt[3]{\frac{1}{216}} ni hisoblab, \frac{1}{6} natijasiga ega bo‘ling.

$$\frac{\left(\frac{1}{6}\right)^{-1}+3\times \left(2\sqrt{9}\right)^{3}-3\sqrt{64}}{\left(-2\right)^{0}-\left(-\frac{1}{2}\right)+\sqrt[4]{\frac{1}{16}}}$$

-1 daraja ko‘rsatkichini \frac{1}{6} ga hisoblang va 6 ni qiymatni oling.

$$\frac{6+3\times \left(2\sqrt{9}\right)^{3}-3\sqrt{64}}{\left(-2\right)^{0}-\left(-\frac{1}{2}\right)+\sqrt[4]{\frac{1}{16}}}$$

9 ning kvadrat ildizini hisoblab, 3 natijaga ega bo‘ling.

$$\frac{6+3\times \left(2\times 3\right)^{3}-3\sqrt{64}}{\left(-2\right)^{0}-\left(-\frac{1}{2}\right)+\sqrt[4]{\frac{1}{16}}}$$

6 hosil qilish uchun 2 va 3 ni ko'paytirish.

$$\frac{6+3\times 6^{3}-3\sqrt{64}}{\left(-2\right)^{0}-\left(-\frac{1}{2}\right)+\sqrt[4]{\frac{1}{16}}}$$

3 daraja ko‘rsatkichini 6 ga hisoblang va 216 ni qiymatni oling.

$$\frac{6+3\times 216-3\sqrt{64}}{\left(-2\right)^{0}-\left(-\frac{1}{2}\right)+\sqrt[4]{\frac{1}{16}}}$$

648 hosil qilish uchun 3 va 216 ni ko'paytirish.

$$\frac{6+648-3\sqrt{64}}{\left(-2\right)^{0}-\left(-\frac{1}{2}\right)+\sqrt[4]{\frac{1}{16}}}$$

654 olish uchun 6 va 648'ni qo'shing.

$$\frac{654-3\sqrt{64}}{\left(-2\right)^{0}-\left(-\frac{1}{2}\right)+\sqrt[4]{\frac{1}{16}}}$$

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

$$\frac{654-3\times 8}{\left(-2\right)^{0}-\left(-\frac{1}{2}\right)+\sqrt[4]{\frac{1}{16}}}$$

-24 hosil qilish uchun -3 va 8 ni ko'paytirish.

$$\frac{654-24}{\left(-2\right)^{0}-\left(-\frac{1}{2}\right)+\sqrt[4]{\frac{1}{16}}}$$

630 olish uchun 654 dan 24 ni ayirish.

$$\frac{630}{\left(-2\right)^{0}-\left(-\frac{1}{2}\right)+\sqrt[4]{\frac{1}{16}}}$$

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

$$\frac{630}{1-\left(-\frac{1}{2}\right)+\sqrt[4]{\frac{1}{16}}}$$

-\frac{1}{2} ning teskarisi \frac{1}{2} ga teng.

$$\frac{630}{1+\frac{1}{2}+\sqrt[4]{\frac{1}{16}}}$$

\frac{3}{2} olish uchun 1 va \frac{1}{2}'ni qo'shing.

$$\frac{630}{\frac{3}{2}+\sqrt[4]{\frac{1}{16}}}$$

\sqrt[4]{\frac{1}{16}} ni hisoblab, \frac{1}{2} natijasiga ega bo‘ling.

$$\frac{630}{\frac{3}{2}+\frac{1}{2}}$$

2 olish uchun \frac{3}{2} va \frac{1}{2}'ni qo'shing.

$$\frac{630}{2}$$

315 ni olish uchun 630 ni 2 ga bo‘ling.

$$315$$

Omil

$$3^{2}\times 5\times 7$$