(1/2^-3-1/2^-1)^-3 eching

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

Baholash

$$\frac{1}{216}\approx 0,00462963$$

Yechim qadamlari

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

$$\left(\frac{1}{\frac{1}{8}}-\frac{1}{2^{-1}}\right)^{-3}$$

1 ni \frac{1}{8} ga bo'lish 1 ga k'paytirish \frac{1}{8} ga qaytarish.

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

8 hosil qilish uchun 1 va 8 ni ko'paytirish.

$$\left(8-\frac{1}{2^{-1}}\right)^{-3}$$

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

$$\left(8-\frac{1}{\frac{1}{2}}\right)^{-3}$$

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

$$\left(8-1\times 2\right)^{-3}$$

2 hosil qilish uchun 1 va 2 ni ko'paytirish.

$$\left(8-2\right)^{-3}$$

6 olish uchun 8 dan 2 ni ayirish.

$$6^{-3}$$

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

$$\frac{1}{216}$$

Omil

$$\frac{1}{2 ^ {3} \cdot 3 ^ {3}} = 0,004629629629629629$$