(a^{2}*b^{2})^-5:(a^-1:9^-5)^2 eching

$$( a ^ { 2 } \cdot b ^ { 2 } ) ^ { - 5 } : ( a ^ { - 1 } : 9 ^ { - 5 } ) ^ { 2 }$$

Baholash

$$\frac{1}{3486784401a^{8}b^{10}}$$

Yechim qadamlari

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

$$\frac{\left(a^{2}\right)^{-5}\left(b^{2}\right)^{-5}}{\left(\frac{a^{-1}}{9^{-5}}\right)^{2}}$$

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

$$\frac{a^{-10}\left(b^{2}\right)^{-5}}{\left(\frac{a^{-1}}{9^{-5}}\right)^{2}}$$

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

$$\frac{a^{-10}b^{-10}}{\left(\frac{a^{-1}}{9^{-5}}\right)^{2}}$$

-5 daraja ko‘rsatkichini 9 ga hisoblang va \frac{1}{59049} ni qiymatni oling.

$$\frac{a^{-10}b^{-10}}{\left(\frac{a^{-1}}{\frac{1}{59049}}\right)^{2}}$$

a^{-1} ni \frac{1}{59049} ga bo'lish a^{-1} ga k'paytirish \frac{1}{59049} ga qaytarish.

$$\frac{a^{-10}b^{-10}}{\left(a^{-1}\times 59049\right)^{2}}$$

\left(a^{-1}\times 59049\right)^{2} ni kengaytirish.

$$\frac{a^{-10}b^{-10}}{\left(a^{-1}\right)^{2}\times 59049^{2}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -1 va 2 ni ko‘paytirib, -2 ni oling.

$$\frac{a^{-10}b^{-10}}{a^{-2}\times 59049^{2}}$$

2 daraja ko‘rsatkichini 59049 ga hisoblang va 3486784401 ni qiymatni oling.

$$\frac{a^{-10}b^{-10}}{a^{-2}\times 3486784401}$$

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

$$\frac{b^{-10}}{3486784401a^{8}}$$

Kengaytirish

$$\frac{1}{3486784401a^{8}b^{10}}$$

Yechim qadamlari

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

$$\frac{\left(a^{2}\right)^{-5}\left(b^{2}\right)^{-5}}{\left(\frac{a^{-1}}{9^{-5}}\right)^{2}}$$

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

$$\frac{a^{-10}\left(b^{2}\right)^{-5}}{\left(\frac{a^{-1}}{9^{-5}}\right)^{2}}$$

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

$$\frac{a^{-10}b^{-10}}{\left(\frac{a^{-1}}{9^{-5}}\right)^{2}}$$

-5 daraja ko‘rsatkichini 9 ga hisoblang va \frac{1}{59049} ni qiymatni oling.

$$\frac{a^{-10}b^{-10}}{\left(\frac{a^{-1}}{\frac{1}{59049}}\right)^{2}}$$

a^{-1} ni \frac{1}{59049} ga bo'lish a^{-1} ga k'paytirish \frac{1}{59049} ga qaytarish.

$$\frac{a^{-10}b^{-10}}{\left(a^{-1}\times 59049\right)^{2}}$$

\left(a^{-1}\times 59049\right)^{2} ni kengaytirish.

$$\frac{a^{-10}b^{-10}}{\left(a^{-1}\right)^{2}\times 59049^{2}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -1 va 2 ni ko‘paytirib, -2 ni oling.

$$\frac{a^{-10}b^{-10}}{a^{-2}\times 59049^{2}}$$

2 daraja ko‘rsatkichini 59049 ga hisoblang va 3486784401 ni qiymatni oling.

$$\frac{a^{-10}b^{-10}}{a^{-2}\times 3486784401}$$

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

$$\frac{b^{-10}}{3486784401a^{8}}$$