(-2)^4=(-22/3)^2+51/2*(-1/6)-1/4 eching

$$( - 2 ) ^ { 4 } = ( - 2 \frac { 2 } { 3 } ) ^ { 2 } + 5 \frac { 1 } { 2 } \times ( - \frac { 1 } { 6 } ) - \frac { 1 } { 4 }$$

Tasdiqlamoq

Yechim qadamlari

Tenglamaning ikkala tarafini 12 ga, 2,6,4 ning eng kichik karralisiga ko‘paytiring.

$$12\left(-2\right)^{4}=12\left(-\frac{2\times 3+2}{3}\right)^{2}+6\left(5\times 2+1\right)\left(-\frac{1}{6}\right)-3$$

4 daraja ko‘rsatkichini -2 ga hisoblang va 16 ni qiymatni oling.

$$12\times 16=12\left(-\frac{2\times 3+2}{3}\right)^{2}+6\left(5\times 2+1\right)\left(-\frac{1}{6}\right)-3$$

192 hosil qilish uchun 12 va 16 ni ko'paytirish.

$$192=12\left(-\frac{2\times 3+2}{3}\right)^{2}+6\left(5\times 2+1\right)\left(-\frac{1}{6}\right)-3$$

6 hosil qilish uchun 2 va 3 ni ko'paytirish.

$$192=12\left(-\frac{6+2}{3}\right)^{2}+6\left(5\times 2+1\right)\left(-\frac{1}{6}\right)-3$$

8 olish uchun 6 va 2'ni qo'shing.

$$192=12\left(-\frac{8}{3}\right)^{2}+6\left(5\times 2+1\right)\left(-\frac{1}{6}\right)-3$$

2 daraja ko‘rsatkichini -\frac{8}{3} ga hisoblang va \frac{64}{9} ni qiymatni oling.

$$192=12\times \frac{64}{9}+6\left(5\times 2+1\right)\left(-\frac{1}{6}\right)-3$$

\frac{256}{3} hosil qilish uchun 12 va \frac{64}{9} ni ko'paytirish.

$$192=\frac{256}{3}+6\left(5\times 2+1\right)\left(-\frac{1}{6}\right)-3$$

10 hosil qilish uchun 5 va 2 ni ko'paytirish.

$$192=\frac{256}{3}+6\left(10+1\right)\left(-\frac{1}{6}\right)-3$$

11 olish uchun 10 va 1'ni qo'shing.

$$192=\frac{256}{3}+6\times 11\left(-\frac{1}{6}\right)-3$$

66 hosil qilish uchun 6 va 11 ni ko'paytirish.

$$192=\frac{256}{3}+66\left(-\frac{1}{6}\right)-3$$

-11 hosil qilish uchun 66 va -\frac{1}{6} ni ko'paytirish.

$$192=\frac{256}{3}-11-3$$

\frac{223}{3} olish uchun \frac{256}{3} dan 11 ni ayirish.

$$192=\frac{223}{3}-3$$

\frac{214}{3} olish uchun \frac{223}{3} dan 3 ni ayirish.

$$192=\frac{214}{3}$$

192 ni \frac{576}{3} kasrga o‘giring.

$$\frac{576}{3}=\frac{214}{3}$$

\frac{576}{3} va \frac{214}{3} ni taqqoslang.

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