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

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

Baholash

$$\frac{95367431640625}{1073741824}=88817,841970013$$

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{9765625}{1048576} ni qiymatni oling.

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

\frac{95367431640625}{1073741824} hosil qilish uchun \frac{9765625}{1024} va \frac{9765625}{1048576} ni ko'paytirish.

$$\frac{95367431640625}{1073741824}$$

Omil

$$\frac{5 ^ {20}}{2 ^ {30}} = 88817\frac{904058417}{1073741824} = 88817,84197001252$$