A=314(2p^5)^2 eching

$$A = 314 ( 2 p ^ { 5 } ) ^ { 2 }$$

A uchun yechish

$$A=1256p^{10}$$

Yechim qadamlari

\left(2p^{5}\right)^{2} ni kengaytirish.

$$A=314\times 2^{2}\left(p^{5}\right)^{2}$$

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

$$A=314\times 2^{2}p^{10}$$

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

$$A=314\times 4p^{10}$$

1256 hosil qilish uchun 314 va 4 ni ko'paytirish.

$$A=1256p^{10}$$

p uchun yechish

$$p=\frac{1256^{\frac{9}{10}}\sqrt[10]{A}}{1256}$$

$$p=-\frac{1256^{\frac{9}{10}}\sqrt[10]{A}}{1256}\text{, }A\geq 0$$