frac{a^{2}(2^{3}*c^{-2})}{((a/-1)^{3})^{-2}}-2(c/(a^2*2^-1)^2)^-2 eching

$$\frac { a ^ { 2 } ( 2 ^ { 3 } \cdot c ^ { - 2 } ) } { ( ( \frac { a } { - 1 } ) ^ { 3 } ) ^ { - 2 } } - 2 ( \frac { c } { ( a ^ { 2 } \cdot 2 ^ { - 1 } ) ^ { 2 } } ) ^ { - 2 }$$

Baholash

$$\frac{63a^{8}}{8c^{2}}$$

Qisqa yechim qadamlari

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

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

3 daraja ko‘rsatkichini 2 ga hisoblang va 8 ni qiymatni oling.

$$\frac{a^{2}\times 8c^{-2}}{\left(\frac{a}{-1}\right)^{-6}}-2\times \left(\frac{c}{\left(a^{2}\times 2^{-1}\right)^{2}}\right)^{-2}$$

Istalgan sonni -1 ga boʻlsangiz, uning qarama-qarshisi chiqadi.

$$\frac{a^{2}\times 8c^{-2}}{\left(-a\right)^{-6}}-2\times \left(\frac{c}{\left(a^{2}\times 2^{-1}\right)^{2}}\right)^{-2}$$

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

$$\frac{a^{2}\times 8c^{-2}}{\left(-a\right)^{-6}}-2\times \left(\frac{c}{\left(a^{2}\times \frac{1}{2}\right)^{2}}\right)^{-2}$$

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

$$\frac{a^{2}\times 8c^{-2}}{\left(-a\right)^{-6}}-2\times \left(\frac{c}{\left(a^{2}\right)^{2}\times \left(\frac{1}{2}\right)^{2}}\right)^{-2}$$

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

$$\frac{a^{2}\times 8c^{-2}}{\left(-a\right)^{-6}}-2\times \left(\frac{c}{a^{4}\times \left(\frac{1}{2}\right)^{2}}\right)^{-2}$$

2 daraja ko‘rsatkichini \frac{1}{2} ga hisoblang va \frac{1}{4} ni qiymatni oling.

$$\frac{a^{2}\times 8c^{-2}}{\left(-a\right)^{-6}}-2\times \left(\frac{c}{a^{4}\times \frac{1}{4}}\right)^{-2}$$

\frac{c}{a^{4}\times \frac{1}{4}}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$\frac{a^{2}\times 8c^{-2}}{\left(-a\right)^{-6}}-2\times \frac{c^{-2}}{\left(a^{4}\times \frac{1}{4}\right)^{-2}}$$

\left(a^{4}\times \frac{1}{4}\right)^{-2} ni kengaytirish.

$$\frac{a^{2}\times 8c^{-2}}{\left(-a\right)^{-6}}-2\times \frac{c^{-2}}{\left(a^{4}\right)^{-2}\times \left(\frac{1}{4}\right)^{-2}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 4 va -2 ni ko‘paytirib, -8 ni oling.

$$\frac{a^{2}\times 8c^{-2}}{\left(-a\right)^{-6}}-2\times \frac{c^{-2}}{a^{-8}\times \left(\frac{1}{4}\right)^{-2}}$$

-2 daraja ko‘rsatkichini \frac{1}{4} ga hisoblang va 16 ni qiymatni oling.

$$\frac{a^{2}\times 8c^{-2}}{\left(-a\right)^{-6}}-2\times \frac{c^{-2}}{a^{-8}\times 16}$$

2\times \frac{c^{-2}}{a^{-8}\times 16} ni yagona kasrga aylantiring.

$$\frac{a^{2}\times 8c^{-2}}{\left(-a\right)^{-6}}-\frac{2c^{-2}}{a^{-8}\times 16}$$

Surat va maxrajdagi ikkala 2 ni qisqartiring.

$$\frac{a^{2}\times 8c^{-2}}{\left(-a\right)^{-6}}-\frac{c^{-2}}{8a^{-8}}$$

\left(-a\right)^{-6} ni kengaytirish.

$$\frac{a^{2}\times 8c^{-2}}{\left(-1\right)^{-6}a^{-6}}-\frac{c^{-2}}{8a^{-8}}$$

-6 daraja ko‘rsatkichini -1 ga hisoblang va 1 ni qiymatni oling.

$$\frac{a^{2}\times 8c^{-2}}{1a^{-6}}-\frac{c^{-2}}{8a^{-8}}$$

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

$$8c^{-2}a^{8}-\frac{c^{-2}}{8a^{-8}}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 8c^{-2}a^{8} ni \frac{8a^{-8}}{8a^{-8}} marotabaga ko'paytirish.

$$\frac{8c^{-2}a^{8}\times 8a^{-8}}{8a^{-8}}-\frac{c^{-2}}{8a^{-8}}$$

\frac{8c^{-2}a^{8}\times 8a^{-8}}{8a^{-8}} va \frac{c^{-2}}{8a^{-8}} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{8c^{-2}a^{8}\times 8a^{-8}-c^{-2}}{8a^{-8}}$$

8c^{-2}a^{8}\times 8a^{-8}-c^{-2} ichidagi ko‘paytirishlarni bajaring.

$$\frac{64c^{-2}-c^{-2}}{8a^{-8}}$$

64c^{-2}-c^{-2} kabi iboralarga o‘xshab birlashtiring.

$$\frac{63c^{-2}}{8a^{-8}}$$

Kengaytirish

$$\frac{63a^{8}}{8c^{2}}$$

Qisqa yechim qadamlari

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

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

3 daraja ko‘rsatkichini 2 ga hisoblang va 8 ni qiymatni oling.

$$\frac{a^{2}\times 8c^{-2}}{\left(\frac{a}{-1}\right)^{-6}}-2\times \left(\frac{c}{\left(a^{2}\times 2^{-1}\right)^{2}}\right)^{-2}$$

Istalgan sonni -1 ga boʻlsangiz, uning qarama-qarshisi chiqadi.

$$\frac{a^{2}\times 8c^{-2}}{\left(-a\right)^{-6}}-2\times \left(\frac{c}{\left(a^{2}\times 2^{-1}\right)^{2}}\right)^{-2}$$

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

$$\frac{a^{2}\times 8c^{-2}}{\left(-a\right)^{-6}}-2\times \left(\frac{c}{\left(a^{2}\times \frac{1}{2}\right)^{2}}\right)^{-2}$$

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

$$\frac{a^{2}\times 8c^{-2}}{\left(-a\right)^{-6}}-2\times \left(\frac{c}{\left(a^{2}\right)^{2}\times \left(\frac{1}{2}\right)^{2}}\right)^{-2}$$

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

$$\frac{a^{2}\times 8c^{-2}}{\left(-a\right)^{-6}}-2\times \left(\frac{c}{a^{4}\times \left(\frac{1}{2}\right)^{2}}\right)^{-2}$$

2 daraja ko‘rsatkichini \frac{1}{2} ga hisoblang va \frac{1}{4} ni qiymatni oling.

$$\frac{a^{2}\times 8c^{-2}}{\left(-a\right)^{-6}}-2\times \left(\frac{c}{a^{4}\times \frac{1}{4}}\right)^{-2}$$

\frac{c}{a^{4}\times \frac{1}{4}}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$\frac{a^{2}\times 8c^{-2}}{\left(-a\right)^{-6}}-2\times \frac{c^{-2}}{\left(a^{4}\times \frac{1}{4}\right)^{-2}}$$

\left(a^{4}\times \frac{1}{4}\right)^{-2} ni kengaytirish.

$$\frac{a^{2}\times 8c^{-2}}{\left(-a\right)^{-6}}-2\times \frac{c^{-2}}{\left(a^{4}\right)^{-2}\times \left(\frac{1}{4}\right)^{-2}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 4 va -2 ni ko‘paytirib, -8 ni oling.

$$\frac{a^{2}\times 8c^{-2}}{\left(-a\right)^{-6}}-2\times \frac{c^{-2}}{a^{-8}\times \left(\frac{1}{4}\right)^{-2}}$$

-2 daraja ko‘rsatkichini \frac{1}{4} ga hisoblang va 16 ni qiymatni oling.

$$\frac{a^{2}\times 8c^{-2}}{\left(-a\right)^{-6}}-2\times \frac{c^{-2}}{a^{-8}\times 16}$$

2\times \frac{c^{-2}}{a^{-8}\times 16} ni yagona kasrga aylantiring.

$$\frac{a^{2}\times 8c^{-2}}{\left(-a\right)^{-6}}-\frac{2c^{-2}}{a^{-8}\times 16}$$

Surat va maxrajdagi ikkala 2 ni qisqartiring.

$$\frac{a^{2}\times 8c^{-2}}{\left(-a\right)^{-6}}-\frac{c^{-2}}{8a^{-8}}$$

\left(-a\right)^{-6} ni kengaytirish.

$$\frac{a^{2}\times 8c^{-2}}{\left(-1\right)^{-6}a^{-6}}-\frac{c^{-2}}{8a^{-8}}$$

-6 daraja ko‘rsatkichini -1 ga hisoblang va 1 ni qiymatni oling.

$$\frac{a^{2}\times 8c^{-2}}{1a^{-6}}-\frac{c^{-2}}{8a^{-8}}$$

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

$$8c^{-2}a^{8}-\frac{c^{-2}}{8a^{-8}}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 8c^{-2}a^{8} ni \frac{8a^{-8}}{8a^{-8}} marotabaga ko'paytirish.

$$\frac{8c^{-2}a^{8}\times 8a^{-8}}{8a^{-8}}-\frac{c^{-2}}{8a^{-8}}$$

\frac{8c^{-2}a^{8}\times 8a^{-8}}{8a^{-8}} va \frac{c^{-2}}{8a^{-8}} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{8c^{-2}a^{8}\times 8a^{-8}-c^{-2}}{8a^{-8}}$$

8c^{-2}a^{8}\times 8a^{-8}-c^{-2} ichidagi ko‘paytirishlarni bajaring.

$$\frac{64c^{-2}-c^{-2}}{8a^{-8}}$$

64c^{-2}-c^{-2} kabi iboralarga o‘xshab birlashtiring.

$$\frac{63c^{-2}}{8a^{-8}}$$