(frac{9b^{4}}{8b^{3}})^2(2b^4/3b^3)^3= eching

$$( \frac { 9 b ^ { 4 } } { 8 b ^ { 3 } } ) ^ { 2 } ( \frac { 2 b ^ { 4 } } { 3 b ^ { 3 } } ) ^ { 3 } =$$

Baholash

$$\frac{3b^{5}}{8}$$

Yechim qadamlari

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

$$\left(\frac{9b}{8}\right)^{2}\times \left(\frac{2b^{4}}{3b^{3}}\right)^{3}$$

\frac{9b}{8}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$\frac{\left(9b\right)^{2}}{8^{2}}\times \left(\frac{2b^{4}}{3b^{3}}\right)^{3}$$

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

$$\frac{\left(9b\right)^{2}}{8^{2}}\times \left(\frac{2b}{3}\right)^{3}$$

\frac{2b}{3}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$\frac{\left(9b\right)^{2}}{8^{2}}\times \frac{\left(2b\right)^{3}}{3^{3}}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{\left(9b\right)^{2}}{8^{2}} ni \frac{\left(2b\right)^{3}}{3^{3}} ga ko‘paytiring.

$$\frac{\left(9b\right)^{2}\times \left(2b\right)^{3}}{8^{2}\times 3^{3}}$$

\left(9b\right)^{2} ni kengaytirish.

$$\frac{9^{2}b^{2}\times \left(2b\right)^{3}}{8^{2}\times 3^{3}}$$

2 daraja ko‘rsatkichini 9 ga hisoblang va 81 ni qiymatni oling.

$$\frac{81b^{2}\times \left(2b\right)^{3}}{8^{2}\times 3^{3}}$$

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

$$\frac{81b^{2}\times 2^{3}b^{3}}{8^{2}\times 3^{3}}$$

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

$$\frac{81b^{2}\times 8b^{3}}{8^{2}\times 3^{3}}$$

648 hosil qilish uchun 81 va 8 ni ko'paytirish.

$$\frac{648b^{2}b^{3}}{8^{2}\times 3^{3}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 3 ni qo‘shib, 5 ni oling.

$$\frac{648b^{5}}{8^{2}\times 3^{3}}$$

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

$$\frac{648b^{5}}{64\times 3^{3}}$$

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

$$\frac{648b^{5}}{64\times 27}$$

1728 hosil qilish uchun 64 va 27 ni ko'paytirish.

$$\frac{648b^{5}}{1728}$$

\frac{3}{8}b^{5} ni olish uchun 648b^{5} ni 1728 ga bo‘ling.

$$\frac{3}{8}b^{5}$$

Kengaytirish

$$\frac{3b^{5}}{8}$$

Yechim qadamlari

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

$$\left(\frac{9b}{8}\right)^{2}\times \left(\frac{2b^{4}}{3b^{3}}\right)^{3}$$

\frac{9b}{8}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$\frac{\left(9b\right)^{2}}{8^{2}}\times \left(\frac{2b^{4}}{3b^{3}}\right)^{3}$$

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

$$\frac{\left(9b\right)^{2}}{8^{2}}\times \left(\frac{2b}{3}\right)^{3}$$

\frac{2b}{3}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$\frac{\left(9b\right)^{2}}{8^{2}}\times \frac{\left(2b\right)^{3}}{3^{3}}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{\left(9b\right)^{2}}{8^{2}} ni \frac{\left(2b\right)^{3}}{3^{3}} ga ko‘paytiring.

$$\frac{\left(9b\right)^{2}\times \left(2b\right)^{3}}{8^{2}\times 3^{3}}$$

\left(9b\right)^{2} ni kengaytirish.

$$\frac{9^{2}b^{2}\times \left(2b\right)^{3}}{8^{2}\times 3^{3}}$$

2 daraja ko‘rsatkichini 9 ga hisoblang va 81 ni qiymatni oling.

$$\frac{81b^{2}\times \left(2b\right)^{3}}{8^{2}\times 3^{3}}$$

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

$$\frac{81b^{2}\times 2^{3}b^{3}}{8^{2}\times 3^{3}}$$

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

$$\frac{81b^{2}\times 8b^{3}}{8^{2}\times 3^{3}}$$

648 hosil qilish uchun 81 va 8 ni ko'paytirish.

$$\frac{648b^{2}b^{3}}{8^{2}\times 3^{3}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 3 ni qo‘shib, 5 ni oling.

$$\frac{648b^{5}}{8^{2}\times 3^{3}}$$

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

$$\frac{648b^{5}}{64\times 3^{3}}$$

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

$$\frac{648b^{5}}{64\times 27}$$

1728 hosil qilish uchun 64 va 27 ni ko'paytirish.

$$\frac{648b^{5}}{1728}$$

\frac{3}{8}b^{5} ni olish uchun 648b^{5} ni 1728 ga bo‘ling.

$$\frac{3}{8}b^{5}$$