(frac{a^{4}b^-2}{a^-5b^-1})^-5= eching

$$( \frac { a ^ { 4 } b ^ { - 2 } } { a ^ { - 5 } b ^ { - 1 } } ) ^ { - 5 } =$$

Baholash

$$\frac{b^{5}}{a^{45}}$$

Yechim qadamlari

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

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

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

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

1 daraja ko‘rsatkichini b ga hisoblang va b ni qiymatni oling.

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

\frac{a^{9}}{b}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

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

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 9 va -5 ni ko‘paytirib, -45 ni oling.

$$\frac{a^{-45}}{b^{-5}}$$

Kengaytirish

$$\frac{b^{5}}{a^{45}}$$

Yechim qadamlari

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

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

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

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

1 daraja ko‘rsatkichini b ga hisoblang va b ni qiymatni oling.

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

\frac{a^{9}}{b}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

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

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 9 va -5 ni ko‘paytirib, -45 ni oling.

$$\frac{a^{-45}}{b^{-5}}$$