-9^-2+(9^1/6^2)^-1 eching

$$- 9 ^ { - 2 } + ( \frac { 9 ^ { 1 } } { 6 ^ { 2 } } ) ^ { - 1 }$$

Baholash

$$\frac{323}{81}\approx 3,987654321$$

Yechim qadamlari

-2 daraja ko‘rsatkichini 9 ga hisoblang va \frac{1}{81} ni qiymatni oling.

$$-\frac{1}{81}+\left(\frac{9^{1}}{6^{2}}\right)^{-1}$$

1 daraja ko‘rsatkichini 9 ga hisoblang va 9 ni qiymatni oling.

$$-\frac{1}{81}+\left(\frac{9}{6^{2}}\right)^{-1}$$

2 daraja ko‘rsatkichini 6 ga hisoblang va 36 ni qiymatni oling.

$$-\frac{1}{81}+\left(\frac{9}{36}\right)^{-1}$$

\frac{9}{36} ulushini 9 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{1}{81}+\left(\frac{1}{4}\right)^{-1}$$

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

$$-\frac{1}{81}+4$$

\frac{323}{81} olish uchun -\frac{1}{81} va 4'ni qo'shing.

$$\frac{323}{81}$$

Omil

$$\frac{17 \cdot 19}{3 ^ {4}} = 3\frac{80}{81} = 3,9876543209876543$$