((1/2)^{2})^3*2^5/2^3*(1/2)^-2 eching

$$( ( \frac { 1 } { 2 } ) ^ { 2 } ) ^ { 3 } \cdot \frac { 2 ^ { 5 } } { 2 ^ { 3 } } \cdot ( \frac { 1 } { 2 } ) ^ { - 2 }$$

Baholash

$$\frac{1}{4}=0,25$$

Yechim qadamlari

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 3 ni ko‘paytirib, 6 ni oling.

$$\left(\frac{1}{2}\right)^{6}\times \frac{2^{5}}{2^{3}}\times \left(\frac{1}{2}\right)^{-2}$$

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun maxrajning darajasini surat darajasidan ayiring. 5 dan 3 ni ayirib, 2 ni oling.

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

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 6 va -2 ni qo‘shib, 4 ni oling.

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

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

$$\frac{1}{16}\times 2^{2}$$

2 daraja ko‘rsatkichini 2 ga hisoblang va 4 ni qiymatni oling.

$$\frac{1}{16}\times 4$$

\frac{1}{4} hosil qilish uchun \frac{1}{16} va 4 ni ko'paytirish.

$$\frac{1}{4}$$

Omil

$$\frac{1}{2 ^ {2}} = 0,25$$