(1/2)^{0}*[(1/2)^3]^-4:(1/3)^9*(1/3)^10= eching

$$( \frac { 1 } { 2 } ) ^ { 0 } \cdot [ ( \frac { 1 } { 2 } ) ^ { 3 } ] ^ { - 4 } : ( \frac { 1 } { 3 } ) ^ { 9 } \cdot ( \frac { 1 } { 3 } ) ^ { 10 } =$$

Baholash

$$\frac{4096}{3}\approx 1365,333333333$$

Yechim qadamlari

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 3 va -4 ni ko‘paytirib, -12 ni oling.

$$\frac{\left(\frac{1}{2}\right)^{0}\times \left(\frac{1}{2}\right)^{-12}}{\left(\frac{1}{3}\right)^{9}}\times \left(\frac{1}{3}\right)^{10}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 0 va -12 ni qo‘shib, -12 ni oling.

$$\frac{\left(\frac{1}{2}\right)^{-12}}{\left(\frac{1}{3}\right)^{9}}\times \left(\frac{1}{3}\right)^{10}$$

-12 daraja ko‘rsatkichini \frac{1}{2} ga hisoblang va 4096 ni qiymatni oling.

$$\frac{4096}{\left(\frac{1}{3}\right)^{9}}\times \left(\frac{1}{3}\right)^{10}$$

9 daraja ko‘rsatkichini \frac{1}{3} ga hisoblang va \frac{1}{19683} ni qiymatni oling.

$$\frac{4096}{\frac{1}{19683}}\times \left(\frac{1}{3}\right)^{10}$$

4096 ni \frac{1}{19683} ga bo'lish 4096 ga k'paytirish \frac{1}{19683} ga qaytarish.

$$4096\times 19683\times \left(\frac{1}{3}\right)^{10}$$

80621568 hosil qilish uchun 4096 va 19683 ni ko'paytirish.

$$80621568\times \left(\frac{1}{3}\right)^{10}$$

10 daraja ko‘rsatkichini \frac{1}{3} ga hisoblang va \frac{1}{59049} ni qiymatni oling.

$$80621568\times \frac{1}{59049}$$

\frac{4096}{3} hosil qilish uchun 80621568 va \frac{1}{59049} ni ko'paytirish.

$$\frac{4096}{3}$$

Omil

$$\frac{2 ^ {12}}{3} = 1365\frac{1}{3} = 1365,3333333333333$$