(49e^2r^4s^0)^frac{3{2}} eching

$$( 49 e ^ { 2 } r ^ { 4 } s ^ { 0 } ) ^ { \frac { 3 } { 2 } }$$

Baholash

$$343e^{3}r^{6}$$

Yechim qadamlari

0 daraja ko‘rsatkichini s ga hisoblang va 1 ni qiymatni oling.

$$\left(49e^{2}r^{4}\times 1\right)^{\frac{3}{2}}$$

49 hosil qilish uchun 49 va 1 ni ko'paytirish.

$$\left(49e^{2}r^{4}\right)^{\frac{3}{2}}$$

\left(49e^{2}r^{4}\right)^{\frac{3}{2}} ni kengaytirish.

$$49^{\frac{3}{2}}\left(e^{2}\right)^{\frac{3}{2}}\left(r^{4}\right)^{\frac{3}{2}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va \frac{3}{2} ni ko‘paytirib, 3 ni oling.

$$49^{\frac{3}{2}}e^{3}\left(r^{4}\right)^{\frac{3}{2}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 4 va \frac{3}{2} ni ko‘paytirib, 6 ni oling.

$$49^{\frac{3}{2}}e^{3}r^{6}$$

\frac{3}{2} daraja ko‘rsatkichini 49 ga hisoblang va 343 ni qiymatni oling.

$$343e^{3}r^{6}$$

r ga nisbatan hosilani topish

$$2058e^{3}r^{5}$$