(5/2)^10*[(5/4)^5]^-2 eching

$$( \frac { 5 } { 2 } ) ^ { 10 } \cdot [ ( \frac { 5 } { 4 } ) ^ { 5 } ] ^ { - 2 }$$

Baholash

$$1024$$

Yechim qadamlari

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 5 va -2 ni ko‘paytirib, -10 ni oling.

$$\left(\frac{5}{2}\right)^{10}\times \left(\frac{5}{4}\right)^{-10}$$

10 daraja ko‘rsatkichini \frac{5}{2} ga hisoblang va \frac{9765625}{1024} ni qiymatni oling.

$$\frac{9765625}{1024}\times \left(\frac{5}{4}\right)^{-10}$$

-10 daraja ko‘rsatkichini \frac{5}{4} ga hisoblang va \frac{1048576}{9765625} ni qiymatni oling.

$$\frac{9765625}{1024}\times \frac{1048576}{9765625}$$

1024 hosil qilish uchun \frac{9765625}{1024} va \frac{1048576}{9765625} ni ko'paytirish.

$$1024$$

Omil

$$2^{10}$$