sqrt[10]{16^10}*sqrt[4]{8^12}*sqrt[5]{16^10} eching

$$\sqrt[ 10 ] { 16 ^ { 10 } } \cdot \sqrt[ 4 ] { 8 ^ { 12 } } \cdot \sqrt[ 5 ] { 16 ^ { 10 } }$$

Baholash

$$2097152$$

Yechim qadamlari

10 daraja ko‘rsatkichini 16 ga hisoblang va 1099511627776 ni qiymatni oling.

$$\sqrt[10]{1099511627776}\sqrt[4]{8^{12}}\sqrt[5]{16^{10}}$$

\sqrt[10]{1099511627776} ni hisoblab, 16 natijasiga ega bo‘ling.

$$16\sqrt[4]{8^{12}}\sqrt[5]{16^{10}}$$

12 daraja ko‘rsatkichini 8 ga hisoblang va 68719476736 ni qiymatni oling.

$$16\sqrt[4]{68719476736}\sqrt[5]{16^{10}}$$

\sqrt[4]{68719476736} ni hisoblab, 512 natijasiga ega bo‘ling.

$$16\times 512\sqrt[5]{16^{10}}$$

8192 hosil qilish uchun 16 va 512 ni ko'paytirish.

$$8192\sqrt[5]{16^{10}}$$

10 daraja ko‘rsatkichini 16 ga hisoblang va 1099511627776 ni qiymatni oling.

$$8192\sqrt[5]{1099511627776}$$

\sqrt[5]{1099511627776} ni hisoblab, 256 natijasiga ega bo‘ling.

$$8192\times 256$$

2097152 hosil qilish uchun 8192 va 256 ni ko'paytirish.

$$2097152$$

Omil

$$2^{21}$$