B=(frac{8*x^{8}}{3^{3}})^2:(3^2/2*x^5)^-3 eching

$$B = ( \frac { 8 \cdot x ^ { 8 } } { 3 ^ { 3 } } ) ^ { 2 } : ( \frac { 3 ^ { 2 } } { 2 \cdot x ^ { 5 } } ) ^ { - 3 }$$

B uchun yechish

$$B=8x$$

$$x\neq 0$$

Yechim qadamlari

3 daraja ko‘rsatkichini 3 ga hisoblang va 27 ni qiymatni oling.

$$B=\frac{\left(\frac{8x^{8}}{27}\right)^{2}}{\left(\frac{3^{2}}{2x^{5}}\right)^{-3}}$$

\frac{8x^{8}}{27}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$B=\frac{\frac{\left(8x^{8}\right)^{2}}{27^{2}}}{\left(\frac{3^{2}}{2x^{5}}\right)^{-3}}$$

2 daraja ko‘rsatkichini 3 ga hisoblang va 9 ni qiymatni oling.

$$B=\frac{\frac{\left(8x^{8}\right)^{2}}{27^{2}}}{\left(\frac{9}{2x^{5}}\right)^{-3}}$$

\frac{9}{2x^{5}}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$B=\frac{\frac{\left(8x^{8}\right)^{2}}{27^{2}}}{\frac{9^{-3}}{\left(2x^{5}\right)^{-3}}}$$

\frac{\left(8x^{8}\right)^{2}}{27^{2}} ni \frac{9^{-3}}{\left(2x^{5}\right)^{-3}} ga bo'lish \frac{\left(8x^{8}\right)^{2}}{27^{2}} ga k'paytirish \frac{9^{-3}}{\left(2x^{5}\right)^{-3}} ga qaytarish.

$$B=\frac{\left(8x^{8}\right)^{2}\times \left(2x^{5}\right)^{-3}}{27^{2}\times 9^{-3}}$$

\left(8x^{8}\right)^{2} ni kengaytirish.

$$B=\frac{8^{2}\left(x^{8}\right)^{2}\times \left(2x^{5}\right)^{-3}}{27^{2}\times 9^{-3}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 8 va 2 ni ko‘paytirib, 16 ni oling.

$$B=\frac{8^{2}x^{16}\times \left(2x^{5}\right)^{-3}}{27^{2}\times 9^{-3}}$$

2 daraja ko‘rsatkichini 8 ga hisoblang va 64 ni qiymatni oling.

$$B=\frac{64x^{16}\times \left(2x^{5}\right)^{-3}}{27^{2}\times 9^{-3}}$$

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

$$B=\frac{64x^{16}\times 2^{-3}\left(x^{5}\right)^{-3}}{27^{2}\times 9^{-3}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 5 va -3 ni ko‘paytirib, -15 ni oling.

$$B=\frac{64x^{16}\times 2^{-3}x^{-15}}{27^{2}\times 9^{-3}}$$

-3 daraja ko‘rsatkichini 2 ga hisoblang va \frac{1}{8} ni qiymatni oling.

$$B=\frac{64x^{16}\times \frac{1}{8}x^{-15}}{27^{2}\times 9^{-3}}$$

8 hosil qilish uchun 64 va \frac{1}{8} ni ko'paytirish.

$$B=\frac{8x^{16}x^{-15}}{27^{2}\times 9^{-3}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 16 va -15 ni qo‘shib, 1 ni oling.

$$B=\frac{8x^{1}}{27^{2}\times 9^{-3}}$$

2 daraja ko‘rsatkichini 27 ga hisoblang va 729 ni qiymatni oling.

$$B=\frac{8x^{1}}{729\times 9^{-3}}$$

-3 daraja ko‘rsatkichini 9 ga hisoblang va \frac{1}{729} ni qiymatni oling.

$$B=\frac{8x^{1}}{729\times \frac{1}{729}}$$

1 hosil qilish uchun 729 va \frac{1}{729} ni ko'paytirish.

$$B=\frac{8x^{1}}{1}$$

Har qanday son birga bo‘linganda, natija o‘zi chiqadi.

$$B=8x^{1}$$

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

$$B=8x$$

x uchun yechish

$$x=\frac{B}{8}$$

$$B\neq 0$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

3 daraja ko‘rsatkichini 3 ga hisoblang va 27 ni qiymatni oling.

$$B=\frac{\left(\frac{8x^{8}}{27}\right)^{2}}{\left(\frac{3^{2}}{2x^{5}}\right)^{-3}}$$

\frac{8x^{8}}{27}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$B=\frac{\frac{\left(8x^{8}\right)^{2}}{27^{2}}}{\left(\frac{3^{2}}{2x^{5}}\right)^{-3}}$$

2 daraja ko‘rsatkichini 3 ga hisoblang va 9 ni qiymatni oling.

$$B=\frac{\frac{\left(8x^{8}\right)^{2}}{27^{2}}}{\left(\frac{9}{2x^{5}}\right)^{-3}}$$

\frac{9}{2x^{5}}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$B=\frac{\frac{\left(8x^{8}\right)^{2}}{27^{2}}}{\frac{9^{-3}}{\left(2x^{5}\right)^{-3}}}$$

\frac{\left(8x^{8}\right)^{2}}{27^{2}} ni \frac{9^{-3}}{\left(2x^{5}\right)^{-3}} ga bo'lish \frac{\left(8x^{8}\right)^{2}}{27^{2}} ga k'paytirish \frac{9^{-3}}{\left(2x^{5}\right)^{-3}} ga qaytarish.

$$B=\frac{\left(8x^{8}\right)^{2}\times \left(2x^{5}\right)^{-3}}{27^{2}\times 9^{-3}}$$

\left(8x^{8}\right)^{2} ni kengaytirish.

$$B=\frac{8^{2}\left(x^{8}\right)^{2}\times \left(2x^{5}\right)^{-3}}{27^{2}\times 9^{-3}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 8 va 2 ni ko‘paytirib, 16 ni oling.

$$B=\frac{8^{2}x^{16}\times \left(2x^{5}\right)^{-3}}{27^{2}\times 9^{-3}}$$

2 daraja ko‘rsatkichini 8 ga hisoblang va 64 ni qiymatni oling.

$$B=\frac{64x^{16}\times \left(2x^{5}\right)^{-3}}{27^{2}\times 9^{-3}}$$

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

$$B=\frac{64x^{16}\times 2^{-3}\left(x^{5}\right)^{-3}}{27^{2}\times 9^{-3}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 5 va -3 ni ko‘paytirib, -15 ni oling.

$$B=\frac{64x^{16}\times 2^{-3}x^{-15}}{27^{2}\times 9^{-3}}$$

-3 daraja ko‘rsatkichini 2 ga hisoblang va \frac{1}{8} ni qiymatni oling.

$$B=\frac{64x^{16}\times \frac{1}{8}x^{-15}}{27^{2}\times 9^{-3}}$$

8 hosil qilish uchun 64 va \frac{1}{8} ni ko'paytirish.

$$B=\frac{8x^{16}x^{-15}}{27^{2}\times 9^{-3}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 16 va -15 ni qo‘shib, 1 ni oling.

$$B=\frac{8x^{1}}{27^{2}\times 9^{-3}}$$

2 daraja ko‘rsatkichini 27 ga hisoblang va 729 ni qiymatni oling.

$$B=\frac{8x^{1}}{729\times 9^{-3}}$$

-3 daraja ko‘rsatkichini 9 ga hisoblang va \frac{1}{729} ni qiymatni oling.

$$B=\frac{8x^{1}}{729\times \frac{1}{729}}$$

1 hosil qilish uchun 729 va \frac{1}{729} ni ko'paytirish.

$$B=\frac{8x^{1}}{1}$$

Har qanday son birga bo‘linganda, natija o‘zi chiqadi.

$$B=8x^{1}$$

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

$$B=8x$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$8x=B$$

Ikki tarafini 8 ga bo‘ling.

$$\frac{8x}{8}=\frac{B}{8}$$

8 ga bo'lish 8 ga ko'paytirishni bekor qiladi.

$$x=\frac{B}{8}$$