(1/2)^-3(1/4)^-2/(frac{1{4})^3*(1/3)^-3} eching

$$\frac { ( \frac { 1 } { 2 } ) ^ { - 3 } ( \frac { 1 } { 4 } ) ^ { - 2 } } { ( \frac { 1 } { 4 } ) ^ { 3 } * ( \frac { 1 } { 3 } ) ^ { - 3 } }$$

Baholash

$$\frac{8192}{27}\approx 303,407407407$$

Yechim qadamlari

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

$$\frac{\left(\frac{1}{2}\right)^{-3}}{\left(\frac{1}{4}\right)^{5}\times \left(\frac{1}{3}\right)^{-3}}$$

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

$$\frac{8}{\left(\frac{1}{4}\right)^{5}\times \left(\frac{1}{3}\right)^{-3}}$$

5 daraja ko‘rsatkichini \frac{1}{4} ga hisoblang va \frac{1}{1024} ni qiymatni oling.

$$\frac{8}{\frac{1}{1024}\times \left(\frac{1}{3}\right)^{-3}}$$

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

$$\frac{8}{\frac{1}{1024}\times 27}$$

\frac{27}{1024} hosil qilish uchun \frac{1}{1024} va 27 ni ko'paytirish.

$$\frac{8}{\frac{27}{1024}}$$

8 ni \frac{27}{1024} ga bo'lish 8 ga k'paytirish \frac{27}{1024} ga qaytarish.

$$8\times \frac{1024}{27}$$

\frac{8192}{27} hosil qilish uchun 8 va \frac{1024}{27} ni ko'paytirish.

$$\frac{8192}{27}$$

Omil

$$\frac{2 ^ {13}}{3 ^ {3}} = 303\frac{11}{27} = 303,4074074074074$$