frac{(5x^{2}y^-1)^-3}{(7x^-2y)^-2} eching

$$\frac { ( 5 x ^ { 2 } y ^ { - 1 } ) ^ { - 3 } } { ( 7 x ^ { - 2 } y ) ^ { - 2 } }$$

Baholash

$$\frac{49y^{5}}{125x^{10}}$$

Yechim qadamlari

\left(5x^{2}y^{-1}\right)^{-3} ni kengaytirish.

$$\frac{5^{-3}\left(x^{2}\right)^{-3}\left(y^{-1}\right)^{-3}}{\left(7x^{-2}y\right)^{-2}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va -3 ni ko‘paytirib, -6 ni oling.

$$\frac{5^{-3}x^{-6}\left(y^{-1}\right)^{-3}}{\left(7x^{-2}y\right)^{-2}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -1 va -3 ni ko‘paytirib, 3 ni oling.

$$\frac{5^{-3}x^{-6}y^{3}}{\left(7x^{-2}y\right)^{-2}}$$

-3 daraja ko‘rsatkichini 5 ga hisoblang va \frac{1}{125} ni qiymatni oling.

$$\frac{\frac{1}{125}x^{-6}y^{3}}{\left(7x^{-2}y\right)^{-2}}$$

\left(7x^{-2}y\right)^{-2} ni kengaytirish.

$$\frac{\frac{1}{125}x^{-6}y^{3}}{7^{-2}\left(x^{-2}\right)^{-2}y^{-2}}$$

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

$$\frac{\frac{1}{125}x^{-6}y^{3}}{7^{-2}x^{4}y^{-2}}$$

-2 daraja ko‘rsatkichini 7 ga hisoblang va \frac{1}{49} ni qiymatni oling.

$$\frac{\frac{1}{125}x^{-6}y^{3}}{\frac{1}{49}x^{4}y^{-2}}$$

Ayni asosning daraja ko'rsatkichi bo'lish uchun maxrajning darajasini surat darajasidan bo'ling.

$$\frac{\frac{1}{125}x^{-6}y^{5}}{\frac{1}{49}x^{4}}$$

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun suratning darajasini maxraj darajasiga bo‘ling.

$$\frac{\frac{1}{125}y^{5}}{\frac{1}{49}x^{10}}$$

Kengaytirish

$$\frac{49y^{5}}{125x^{10}}$$

Yechim qadamlari

\left(5x^{2}y^{-1}\right)^{-3} ni kengaytirish.

$$\frac{5^{-3}\left(x^{2}\right)^{-3}\left(y^{-1}\right)^{-3}}{\left(7x^{-2}y\right)^{-2}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va -3 ni ko‘paytirib, -6 ni oling.

$$\frac{5^{-3}x^{-6}\left(y^{-1}\right)^{-3}}{\left(7x^{-2}y\right)^{-2}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -1 va -3 ni ko‘paytirib, 3 ni oling.

$$\frac{5^{-3}x^{-6}y^{3}}{\left(7x^{-2}y\right)^{-2}}$$

-3 daraja ko‘rsatkichini 5 ga hisoblang va \frac{1}{125} ni qiymatni oling.

$$\frac{\frac{1}{125}x^{-6}y^{3}}{\left(7x^{-2}y\right)^{-2}}$$

\left(7x^{-2}y\right)^{-2} ni kengaytirish.

$$\frac{\frac{1}{125}x^{-6}y^{3}}{7^{-2}\left(x^{-2}\right)^{-2}y^{-2}}$$

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

$$\frac{\frac{1}{125}x^{-6}y^{3}}{7^{-2}x^{4}y^{-2}}$$

-2 daraja ko‘rsatkichini 7 ga hisoblang va \frac{1}{49} ni qiymatni oling.

$$\frac{\frac{1}{125}x^{-6}y^{3}}{\frac{1}{49}x^{4}y^{-2}}$$

Ayni asosning daraja ko'rsatkichi bo'lish uchun maxrajning darajasini surat darajasidan bo'ling.

$$\frac{\frac{1}{125}x^{-6}y^{5}}{\frac{1}{49}x^{4}}$$

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun suratning darajasini maxraj darajasiga bo‘ling.

$$\frac{\frac{1}{125}y^{5}}{\frac{1}{49}x^{10}}$$