13!/4!(13-4)!211^4(1-211)^(13-4) eching

$$\frac { 13 ! } { 4 ! ( 13 - 4 ) ! } 211 ^ { 4 } ( 1 - 211 ) ^ { ( 13 - 4 ) }$$

Baholash

$$-1125665914177508762073015000000000$$

Yechim qadamlari

13 ning faktoriali 6227020800 ga teng.

$$\frac{6227020800}{4!\left(13-4\right)!}\times 211^{4}\left(1-211\right)^{13-4}$$

4 ning faktoriali 24 ga teng.

$$\frac{6227020800}{24\left(13-4\right)!}\times 211^{4}\left(1-211\right)^{13-4}$$

9 olish uchun 13 dan 4 ni ayirish.

$$\frac{6227020800}{24\times 9!}\times 211^{4}\left(1-211\right)^{13-4}$$

9 ning faktoriali 362880 ga teng.

$$\frac{6227020800}{24\times 362880}\times 211^{4}\left(1-211\right)^{13-4}$$

8709120 hosil qilish uchun 24 va 362880 ni ko'paytirish.

$$\frac{6227020800}{8709120}\times 211^{4}\left(1-211\right)^{13-4}$$

715 ni olish uchun 6227020800 ni 8709120 ga bo‘ling.

$$715\times 211^{4}\left(1-211\right)^{13-4}$$

4 daraja ko‘rsatkichini 211 ga hisoblang va 1982119441 ni qiymatni oling.

$$715\times 1982119441\left(1-211\right)^{13-4}$$

1417215400315 hosil qilish uchun 715 va 1982119441 ni ko'paytirish.

$$1417215400315\left(1-211\right)^{13-4}$$

-210 olish uchun 1 dan 211 ni ayirish.

$$1417215400315\left(-210\right)^{13-4}$$

9 olish uchun 13 dan 4 ni ayirish.

$$1417215400315\left(-210\right)^{9}$$

9 daraja ko‘rsatkichini -210 ga hisoblang va -794280046581000000000 ni qiymatni oling.

$$1417215400315\left(-794280046581000000000\right)$$

-1125665914177508762073015000000000 hosil qilish uchun 1417215400315 va -794280046581000000000 ni ko'paytirish.

$$-1125665914177508762073015000000000$$

Omil

$$-1125665914177508762073015000000000$$