(6am^2/15a^3m)^4= eching

$$( \frac { 6 a m ^ { 2 } } { 15 a ^ { 3 } m } ) ^ { 4 } =$$

Baholash

$$\frac{16m^{4}}{625a^{8}}$$

Yechim qadamlari

Surat va maxrajdagi ikkala 3am ni qisqartiring.

$$\left(\frac{2m}{5a^{2}}\right)^{4}$$

\frac{2m}{5a^{2}}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$\frac{\left(2m\right)^{4}}{\left(5a^{2}\right)^{4}}$$

\left(2m\right)^{4} ni kengaytirish.

$$\frac{2^{4}m^{4}}{\left(5a^{2}\right)^{4}}$$

4 daraja ko‘rsatkichini 2 ga hisoblang va 16 ni qiymatni oling.

$$\frac{16m^{4}}{\left(5a^{2}\right)^{4}}$$

\left(5a^{2}\right)^{4} ni kengaytirish.

$$\frac{16m^{4}}{5^{4}\left(a^{2}\right)^{4}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 4 ni ko‘paytirib, 8 ni oling.

$$\frac{16m^{4}}{5^{4}a^{8}}$$

4 daraja ko‘rsatkichini 5 ga hisoblang va 625 ni qiymatni oling.

$$\frac{16m^{4}}{625a^{8}}$$

Kengaytirish

$$\frac{16m^{4}}{625a^{8}}$$

Yechim qadamlari

Surat va maxrajdagi ikkala 3am ni qisqartiring.

$$\left(\frac{2m}{5a^{2}}\right)^{4}$$

\frac{2m}{5a^{2}}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$\frac{\left(2m\right)^{4}}{\left(5a^{2}\right)^{4}}$$

\left(2m\right)^{4} ni kengaytirish.

$$\frac{2^{4}m^{4}}{\left(5a^{2}\right)^{4}}$$

4 daraja ko‘rsatkichini 2 ga hisoblang va 16 ni qiymatni oling.

$$\frac{16m^{4}}{\left(5a^{2}\right)^{4}}$$

\left(5a^{2}\right)^{4} ni kengaytirish.

$$\frac{16m^{4}}{5^{4}\left(a^{2}\right)^{4}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 4 ni ko‘paytirib, 8 ni oling.

$$\frac{16m^{4}}{5^{4}a^{8}}$$

4 daraja ko‘rsatkichini 5 ga hisoblang va 625 ni qiymatni oling.

$$\frac{16m^{4}}{625a^{8}}$$