8(2/3)^-1(6/4)(4/2)^-7 eching

$$8 ( \frac { 2 } { 3 } ) ^ { - 1 } ( \frac { 6 } { 4 } ) ( \frac { 4 } { 2 } ) ^ { - 7 }$$

Baholash

$$\frac{9}{64}=0,140625$$

Yechim qadamlari

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

$$8\times \frac{3}{2}\times \frac{6}{4}\times \left(\frac{4}{2}\right)^{-7}$$

12 hosil qilish uchun 8 va \frac{3}{2} ni ko'paytirish.

$$12\times \frac{6}{4}\times \left(\frac{4}{2}\right)^{-7}$$

\frac{6}{4} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$12\times \frac{3}{2}\times \left(\frac{4}{2}\right)^{-7}$$

18 hosil qilish uchun 12 va \frac{3}{2} ni ko'paytirish.

$$18\times \left(\frac{4}{2}\right)^{-7}$$

2 ni olish uchun 4 ni 2 ga bo‘ling.

$$18\times 2^{-7}$$

-7 daraja ko‘rsatkichini 2 ga hisoblang va \frac{1}{128} ni qiymatni oling.

$$18\times \frac{1}{128}$$

\frac{9}{64} hosil qilish uchun 18 va \frac{1}{128} ni ko'paytirish.

$$\frac{9}{64}$$

Omil

$$\frac{3 ^ {2}}{2 ^ {6}} = 0,140625$$