(frac{m^{5/2}(2m^5/4)^2}{m^1/2})^2 eching

$$( \frac { m ^ { 5 / 2 } ( 2 m ^ { 5 / 4 } ) ^ { 2 } } { m ^ { 1 / 2 } } ) ^ { 2 }$$

Baholash

$$16m^{9}$$

Yechim qadamlari

Surat va maxrajdagi ikkala \sqrt{m} ni qisqartiring.

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

\left(m^{2}\times \left(2m^{\frac{5}{4}}\right)^{2}\right)^{2} ni kengaytirish.

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

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

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

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

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

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

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

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. \frac{5}{4} va 4 ni ko‘paytirib, 5 ni oling.

$$m^{4}\times 2^{4}m^{5}$$

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

$$m^{4}\times 16m^{5}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 4 va 5 ni qo‘shib, 9 ni oling.

$$m^{9}\times 16$$

Kengaytirish

$$16m^{9}$$

Yechim qadamlari

Surat va maxrajdagi ikkala \sqrt{m} ni qisqartiring.

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

\left(m^{2}\times \left(2m^{\frac{5}{4}}\right)^{2}\right)^{2} ni kengaytirish.

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

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

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

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

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

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

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

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. \frac{5}{4} va 4 ni ko‘paytirib, 5 ni oling.

$$m^{4}\times 2^{4}m^{5}$$

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

$$m^{4}\times 16m^{5}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 4 va 5 ni qo‘shib, 9 ni oling.

$$m^{9}\times 16$$