frac{(2^frac{3{5}}*5^frac{2{3}})^15}{10^9} eching

$$\frac { ( 2 ^ { \frac { 3 } { 5 } } \cdot 5 ^ { \frac { 2 } { 3 } } ) ^ { 15 } } { 10 ^ { 9 } }$$

Baholash

$$5$$

Yechim qadamlari

\left(2^{\frac{3}{5}}\times 5^{\frac{2}{3}}\right)^{15} ni kengaytirish.

$$\frac{\left(2^{\frac{3}{5}}\right)^{15}\times \left(5^{\frac{2}{3}}\right)^{15}}{10^{9}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. \frac{3}{5} va 15 ni ko‘paytirib, 9 ni oling.

$$\frac{2^{9}\times \left(5^{\frac{2}{3}}\right)^{15}}{10^{9}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. \frac{2}{3} va 15 ni ko‘paytirib, 10 ni oling.

$$\frac{2^{9}\times 5^{10}}{10^{9}}$$

9 daraja ko‘rsatkichini 2 ga hisoblang va 512 ni qiymatni oling.

$$\frac{512\times 5^{10}}{10^{9}}$$

10 daraja ko‘rsatkichini 5 ga hisoblang va 9765625 ni qiymatni oling.

$$\frac{512\times 9765625}{10^{9}}$$

5000000000 hosil qilish uchun 512 va 9765625 ni ko'paytirish.

$$\frac{5000000000}{10^{9}}$$

9 daraja ko‘rsatkichini 10 ga hisoblang va 1000000000 ni qiymatni oling.

$$\frac{5000000000}{1000000000}$$

5 ni olish uchun 5000000000 ni 1000000000 ga bo‘ling.

$$5$$

Omil

$$5$$