(2/5^{2})^{2}(6^2/2^2*(2/3)^-1)^-2 eching

$$( \frac { 2 } { 5 ^ { 2 } } ) ^ { 2 } ( \frac { 6 ^ { 2 } } { 2 ^ { 2 } } \cdot ( \frac { 2 } { 3 } ) ^ { - 1 } ) ^ { - 2 }$$

Baholash

$$\frac{16}{455625}\approx 0,000035117$$

Yechim qadamlari

2 daraja ko‘rsatkichini 5 ga hisoblang va 25 ni qiymatni oling.

$$\left(\frac{2}{25}\right)^{2}\times \left(\frac{6^{2}}{2^{2}}\times \left(\frac{2}{3}\right)^{-1}\right)^{-2}$$

2 daraja ko‘rsatkichini \frac{2}{25} ga hisoblang va \frac{4}{625} ni qiymatni oling.

$$\frac{4}{625}\times \left(\frac{6^{2}}{2^{2}}\times \left(\frac{2}{3}\right)^{-1}\right)^{-2}$$

2 daraja ko‘rsatkichini 6 ga hisoblang va 36 ni qiymatni oling.

$$\frac{4}{625}\times \left(\frac{36}{2^{2}}\times \left(\frac{2}{3}\right)^{-1}\right)^{-2}$$

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

$$\frac{4}{625}\times \left(\frac{36}{4}\times \left(\frac{2}{3}\right)^{-1}\right)^{-2}$$

9 ni olish uchun 36 ni 4 ga bo‘ling.

$$\frac{4}{625}\times \left(9\times \left(\frac{2}{3}\right)^{-1}\right)^{-2}$$

-1 daraja ko‘rsatkichini \frac{2}{3} ga hisoblang va \frac{3}{2} ni qiymatni oling.

$$\frac{4}{625}\times \left(9\times \frac{3}{2}\right)^{-2}$$

\frac{27}{2} hosil qilish uchun 9 va \frac{3}{2} ni ko'paytirish.

$$\frac{4}{625}\times \left(\frac{27}{2}\right)^{-2}$$

-2 daraja ko‘rsatkichini \frac{27}{2} ga hisoblang va \frac{4}{729} ni qiymatni oling.

$$\frac{4}{625}\times \frac{4}{729}$$

\frac{16}{455625} hosil qilish uchun \frac{4}{625} va \frac{4}{729} ni ko'paytirish.

$$\frac{16}{455625}$$

Omil

$$\frac{2 ^ {4}}{3 ^ {6} \cdot 5 ^ {4}} = 3,511659807956104 \times 10^{-5}$$