-3^2+(-025)^100*4^100+(1/2-1/3)*(1/6)^-2 eching

$$- 3 ^ { 2 } + ( - 025 ) ^ { 100 } \times 4 ^ { 100 } + ( \frac { 1 } { 2 } - \frac { 1 } { 3 } ) \times ( \frac { 1 } { 6 } ) ^ { - 2 }$$

Baholash

$$-3$$

Yechim qadamlari

2 daraja ko‘rsatkichini 3 ga hisoblang va 9 ni qiymatni oling.

$$-9+\left(0\times 25\right)^{100}\times 4^{100}+\left(\frac{1}{2}-\frac{1}{3}\right)\times \left(\frac{1}{6}\right)^{-2}$$

0 hosil qilish uchun 0 va 25 ni ko'paytirish.

$$-9+0^{100}\times 4^{100}+\left(\frac{1}{2}-\frac{1}{3}\right)\times \left(\frac{1}{6}\right)^{-2}$$

100 daraja ko‘rsatkichini 0 ga hisoblang va 0 ni qiymatni oling.

$$-9+0\times 4^{100}+\left(\frac{1}{2}-\frac{1}{3}\right)\times \left(\frac{1}{6}\right)^{-2}$$

100 daraja ko‘rsatkichini 4 ga hisoblang va 1606938044258990275541962092341162602522202993782792835301376 ni qiymatni oling.

$$-9+0\times 1606938044258990275541962092341162602522202993782792835301376+\left(\frac{1}{2}-\frac{1}{3}\right)\times \left(\frac{1}{6}\right)^{-2}$$

0 hosil qilish uchun 0 va 1606938044258990275541962092341162602522202993782792835301376 ni ko'paytirish.

$$-9+0+\left(\frac{1}{2}-\frac{1}{3}\right)\times \left(\frac{1}{6}\right)^{-2}$$

-9 olish uchun -9 va 0'ni qo'shing.

$$-9+\left(\frac{1}{2}-\frac{1}{3}\right)\times \left(\frac{1}{6}\right)^{-2}$$

\frac{1}{6} olish uchun \frac{1}{2} dan \frac{1}{3} ni ayirish.

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

-2 daraja ko‘rsatkichini \frac{1}{6} ga hisoblang va 36 ni qiymatni oling.

$$-9+\frac{1}{6}\times 36$$

6 hosil qilish uchun \frac{1}{6} va 36 ni ko'paytirish.

$$-9+6$$

-3 olish uchun -9 va 6'ni qo'shing.

$$-3$$

Omil

$$-3$$