(5/3a^3b)^5:(5/6a^2)^5 eching

$$( \frac { 5 } { 3 } a ^ { 3 } b ) ^ { 5 } : ( \frac { 5 } { 6 } a ^ { 2 } ) ^ { 5 }$$

Baholash

$$32\left(ab\right)^{5}$$

Yechim qadamlari

\left(\frac{5}{3}a^{3}b\right)^{5} ni kengaytirish.

$$\frac{\left(\frac{5}{3}\right)^{5}\left(a^{3}\right)^{5}b^{5}}{\left(\frac{5}{6}a^{2}\right)^{5}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 3 va 5 ni ko‘paytirib, 15 ni oling.

$$\frac{\left(\frac{5}{3}\right)^{5}a^{15}b^{5}}{\left(\frac{5}{6}a^{2}\right)^{5}}$$

5 daraja ko‘rsatkichini \frac{5}{3} ga hisoblang va \frac{3125}{243} ni qiymatni oling.

$$\frac{\frac{3125}{243}a^{15}b^{5}}{\left(\frac{5}{6}a^{2}\right)^{5}}$$

\left(\frac{5}{6}a^{2}\right)^{5} ni kengaytirish.

$$\frac{\frac{3125}{243}a^{15}b^{5}}{\left(\frac{5}{6}\right)^{5}\left(a^{2}\right)^{5}}$$

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

$$\frac{\frac{3125}{243}a^{15}b^{5}}{\left(\frac{5}{6}\right)^{5}a^{10}}$$

5 daraja ko‘rsatkichini \frac{5}{6} ga hisoblang va \frac{3125}{7776} ni qiymatni oling.

$$\frac{\frac{3125}{243}a^{15}b^{5}}{\frac{3125}{7776}a^{10}}$$

Surat va maxrajdagi ikkala a^{10} ni qisqartiring.

$$\frac{\frac{3125}{243}a^{5}b^{5}}{\frac{3125}{7776}}$$

\frac{3125}{243}a^{5}b^{5} ni \frac{3125}{7776} ga bo'lish \frac{3125}{243}a^{5}b^{5} ga k'paytirish \frac{3125}{7776} ga qaytarish.

$$\frac{\frac{3125}{243}a^{5}b^{5}\times 7776}{3125}$$

100000 hosil qilish uchun \frac{3125}{243} va 7776 ni ko'paytirish.

$$\frac{100000a^{5}b^{5}}{3125}$$

32a^{5}b^{5} ni olish uchun 100000a^{5}b^{5} ni 3125 ga bo‘ling.

$$32a^{5}b^{5}$$

Kengaytirish

$$32\left(ab\right)^{5}$$

Yechim qadamlari

\left(\frac{5}{3}a^{3}b\right)^{5} ni kengaytirish.

$$\frac{\left(\frac{5}{3}\right)^{5}\left(a^{3}\right)^{5}b^{5}}{\left(\frac{5}{6}a^{2}\right)^{5}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 3 va 5 ni ko‘paytirib, 15 ni oling.

$$\frac{\left(\frac{5}{3}\right)^{5}a^{15}b^{5}}{\left(\frac{5}{6}a^{2}\right)^{5}}$$

5 daraja ko‘rsatkichini \frac{5}{3} ga hisoblang va \frac{3125}{243} ni qiymatni oling.

$$\frac{\frac{3125}{243}a^{15}b^{5}}{\left(\frac{5}{6}a^{2}\right)^{5}}$$

\left(\frac{5}{6}a^{2}\right)^{5} ni kengaytirish.

$$\frac{\frac{3125}{243}a^{15}b^{5}}{\left(\frac{5}{6}\right)^{5}\left(a^{2}\right)^{5}}$$

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

$$\frac{\frac{3125}{243}a^{15}b^{5}}{\left(\frac{5}{6}\right)^{5}a^{10}}$$

5 daraja ko‘rsatkichini \frac{5}{6} ga hisoblang va \frac{3125}{7776} ni qiymatni oling.

$$\frac{\frac{3125}{243}a^{15}b^{5}}{\frac{3125}{7776}a^{10}}$$

Surat va maxrajdagi ikkala a^{10} ni qisqartiring.

$$\frac{\frac{3125}{243}a^{5}b^{5}}{\frac{3125}{7776}}$$

\frac{3125}{243}a^{5}b^{5} ni \frac{3125}{7776} ga bo'lish \frac{3125}{243}a^{5}b^{5} ga k'paytirish \frac{3125}{7776} ga qaytarish.

$$\frac{\frac{3125}{243}a^{5}b^{5}\times 7776}{3125}$$

100000 hosil qilish uchun \frac{3125}{243} va 7776 ni ko'paytirish.

$$\frac{100000a^{5}b^{5}}{3125}$$

32a^{5}b^{5} ni olish uchun 100000a^{5}b^{5} ni 3125 ga bo‘ling.

$$32a^{5}b^{5}$$