[(2/5)^3]^2:(5/2)^2= eching

$$[ ( \frac { 2 } { 5 } ) ^ { 3 } ] ^ { 2 } : ( \frac { 5 } { 2 } ) ^ { 2 } =$$

Baholash

$$\frac{256}{390625}=0,00065536$$

Yechim qadamlari

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 3 va 2 ni ko‘paytirib, 6 ni oling.

$$\frac{\left(\frac{2}{5}\right)^{6}}{\left(\frac{5}{2}\right)^{2}}$$

6 daraja ko‘rsatkichini \frac{2}{5} ga hisoblang va \frac{64}{15625} ni qiymatni oling.

$$\frac{\frac{64}{15625}}{\left(\frac{5}{2}\right)^{2}}$$

2 daraja ko‘rsatkichini \frac{5}{2} ga hisoblang va \frac{25}{4} ni qiymatni oling.

$$\frac{\frac{64}{15625}}{\frac{25}{4}}$$

\frac{64}{15625} ni \frac{25}{4} ga bo'lish \frac{64}{15625} ga k'paytirish \frac{25}{4} ga qaytarish.

$$\frac{64}{15625}\times \frac{4}{25}$$

\frac{256}{390625} hosil qilish uchun \frac{64}{15625} va \frac{4}{25} ni ko'paytirish.

$$\frac{256}{390625}$$

Omil

$$\frac{2 ^ {8}}{5 ^ {8}} = 0,00065536$$