3^2left(2^-1right)^3{left(frac{1/3right)}^3{left(1/4right)}^-2}{6^-3} eching

$$\frac{ { 3 }^{ 2 } { \left( { 2 }^{ -1 } \right) }^{ 3 } { \left( \frac{ 1 }{ 3 } \right) }^{ 3 } { \left( \frac{ 1 }{ 4 } \right) }^{ -2 } }{ { 6 }^{ -3 } }$$

Baholash

$$144$$

Yechim qadamlari

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -1 va 3 ni ko‘paytirib, -3 ni oling.

$$\frac{3^{2}\times 2^{-3}\times \left(\frac{1}{3}\right)^{3}\times \left(\frac{1}{4}\right)^{-2}}{6^{-3}}$$

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

$$\frac{9\times 2^{-3}\times \left(\frac{1}{3}\right)^{3}\times \left(\frac{1}{4}\right)^{-2}}{6^{-3}}$$

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

$$\frac{9\times \frac{1}{8}\times \left(\frac{1}{3}\right)^{3}\times \left(\frac{1}{4}\right)^{-2}}{6^{-3}}$$

\frac{9}{8} hosil qilish uchun 9 va \frac{1}{8} ni ko'paytirish.

$$\frac{\frac{9}{8}\times \left(\frac{1}{3}\right)^{3}\times \left(\frac{1}{4}\right)^{-2}}{6^{-3}}$$

3 daraja ko‘rsatkichini \frac{1}{3} ga hisoblang va \frac{1}{27} ni qiymatni oling.

$$\frac{\frac{9}{8}\times \frac{1}{27}\times \left(\frac{1}{4}\right)^{-2}}{6^{-3}}$$

\frac{1}{24} hosil qilish uchun \frac{9}{8} va \frac{1}{27} ni ko'paytirish.

$$\frac{\frac{1}{24}\times \left(\frac{1}{4}\right)^{-2}}{6^{-3}}$$

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

$$\frac{\frac{1}{24}\times 16}{6^{-3}}$$

\frac{2}{3} hosil qilish uchun \frac{1}{24} va 16 ni ko'paytirish.

$$\frac{\frac{2}{3}}{6^{-3}}$$

-3 daraja ko‘rsatkichini 6 ga hisoblang va \frac{1}{216} ni qiymatni oling.

$$\frac{\frac{2}{3}}{\frac{1}{216}}$$

\frac{2}{3} ni \frac{1}{216} ga bo'lish \frac{2}{3} ga k'paytirish \frac{1}{216} ga qaytarish.

$$\frac{2}{3}\times 216$$

144 hosil qilish uchun \frac{2}{3} va 216 ni ko'paytirish.

$$144$$

Omil

$$2^{4}\times 3^{2}$$