[frac{(ab^{2}c^{3})^{2}}{(abc)^{3}}][frac{(7a^{2}b^{4}c^{6})^2}{7a^2b^4c^6}]= eching

$$[ \frac { ( a b ^ { 2 } c ^ { 3 } ) ^ { 2 } } { ( a b c ) ^ { 3 } } ] [ \frac { ( 7 a ^ { 2 } b ^ { 4 } c ^ { 6 } ) ^ { 2 } } { 7 a ^ { 2 } b ^ { 4 } c ^ { 6 } } ] =$$

Baholash

$$7ab^{5}c^{9}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun maxrajning darajasini surat darajasidan ayiring. 2 dan 1 ni ayirib, 1 ni oling.

$$\frac{\left(ab^{2}c^{3}\right)^{2}}{\left(abc\right)^{3}}\times \left(7a^{2}b^{4}c^{6}\right)^{1}$$

\left(ab^{2}c^{3}\right)^{2} ni kengaytirish.

$$\frac{a^{2}\left(b^{2}\right)^{2}\left(c^{3}\right)^{2}}{\left(abc\right)^{3}}\times \left(7a^{2}b^{4}c^{6}\right)^{1}$$

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

$$\frac{a^{2}b^{4}\left(c^{3}\right)^{2}}{\left(abc\right)^{3}}\times \left(7a^{2}b^{4}c^{6}\right)^{1}$$

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

$$\frac{a^{2}b^{4}c^{6}}{\left(abc\right)^{3}}\times \left(7a^{2}b^{4}c^{6}\right)^{1}$$

\left(abc\right)^{3} ni kengaytirish.

$$\frac{a^{2}b^{4}c^{6}}{a^{3}b^{3}c^{3}}\times \left(7a^{2}b^{4}c^{6}\right)^{1}$$

Surat va maxrajdagi ikkala a^{2}b^{3}c^{3} ni qisqartiring.

$$\frac{bc^{3}}{a}\times \left(7a^{2}b^{4}c^{6}\right)^{1}$$

1 daraja ko‘rsatkichini 7a^{2}b^{4}c^{6} ga hisoblang va 7a^{2}b^{4}c^{6} ni qiymatni oling.

$$\frac{bc^{3}}{a}\times 7a^{2}b^{4}c^{6}$$

\frac{bc^{3}}{a}\times 7 ni yagona kasrga aylantiring.

$$\frac{bc^{3}\times 7}{a}a^{2}b^{4}c^{6}$$

\frac{bc^{3}\times 7}{a}a^{2} ni yagona kasrga aylantiring.

$$\frac{bc^{3}\times 7a^{2}}{a}b^{4}c^{6}$$

Surat va maxrajdagi ikkala a ni qisqartiring.

$$7abc^{3}b^{4}c^{6}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va 4 ni qo‘shib, 5 ni oling.

$$7ab^{5}c^{3}c^{6}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va 6 ni qo‘shib, 9 ni oling.

$$7ab^{5}c^{9}$$

Kengaytirish

$$7ab^{5}c^{9}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun maxrajning darajasini surat darajasidan ayiring. 2 dan 1 ni ayirib, 1 ni oling.

$$\frac{\left(ab^{2}c^{3}\right)^{2}}{\left(abc\right)^{3}}\times \left(7a^{2}b^{4}c^{6}\right)^{1}$$

\left(ab^{2}c^{3}\right)^{2} ni kengaytirish.

$$\frac{a^{2}\left(b^{2}\right)^{2}\left(c^{3}\right)^{2}}{\left(abc\right)^{3}}\times \left(7a^{2}b^{4}c^{6}\right)^{1}$$

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

$$\frac{a^{2}b^{4}\left(c^{3}\right)^{2}}{\left(abc\right)^{3}}\times \left(7a^{2}b^{4}c^{6}\right)^{1}$$

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

$$\frac{a^{2}b^{4}c^{6}}{\left(abc\right)^{3}}\times \left(7a^{2}b^{4}c^{6}\right)^{1}$$

\left(abc\right)^{3} ni kengaytirish.

$$\frac{a^{2}b^{4}c^{6}}{a^{3}b^{3}c^{3}}\times \left(7a^{2}b^{4}c^{6}\right)^{1}$$

Surat va maxrajdagi ikkala a^{2}b^{3}c^{3} ni qisqartiring.

$$\frac{bc^{3}}{a}\times \left(7a^{2}b^{4}c^{6}\right)^{1}$$

1 daraja ko‘rsatkichini 7a^{2}b^{4}c^{6} ga hisoblang va 7a^{2}b^{4}c^{6} ni qiymatni oling.

$$\frac{bc^{3}}{a}\times 7a^{2}b^{4}c^{6}$$

\frac{bc^{3}}{a}\times 7 ni yagona kasrga aylantiring.

$$\frac{bc^{3}\times 7}{a}a^{2}b^{4}c^{6}$$

\frac{bc^{3}\times 7}{a}a^{2} ni yagona kasrga aylantiring.

$$\frac{bc^{3}\times 7a^{2}}{a}b^{4}c^{6}$$

Surat va maxrajdagi ikkala a ni qisqartiring.

$$7abc^{3}b^{4}c^{6}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va 4 ni qo‘shib, 5 ni oling.

$$7ab^{5}c^{3}c^{6}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va 6 ni qo‘shib, 9 ni oling.

$$7ab^{5}c^{9}$$