-8314*450*(-204-1176/450+21*10^7(1/450)^3) eching

$$- 8314 \times 450 \times ( - 204 - \frac { 1176 } { 450 } + 21 \times 10 ^ { 7 } ( \frac { 1 } { 450 } ) ^ { 3 } )$$

Baholash

$$\frac{20638274528}{27}\approx 764380538,074074074$$

Yechim qadamlari

-3741300 hosil qilish uchun -8314 va 450 ni ko'paytirish.

$$-3741300\left(-204-\frac{1176}{450}+21\times 10^{7}\times \left(\frac{1}{450}\right)^{3}\right)$$

\frac{1176}{450} ulushini 6 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-3741300\left(-204-\frac{196}{75}+21\times 10^{7}\times \left(\frac{1}{450}\right)^{3}\right)$$

-204 ni -\frac{15300}{75} kasrga o‘giring.

$$-3741300\left(-\frac{15300}{75}-\frac{196}{75}+21\times 10^{7}\times \left(\frac{1}{450}\right)^{3}\right)$$

-\frac{15300}{75} va \frac{196}{75} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$-3741300\left(\frac{-15300-196}{75}+21\times 10^{7}\times \left(\frac{1}{450}\right)^{3}\right)$$

-15496 olish uchun -15300 dan 196 ni ayirish.

$$-3741300\left(-\frac{15496}{75}+21\times 10^{7}\times \left(\frac{1}{450}\right)^{3}\right)$$

7 daraja ko‘rsatkichini 10 ga hisoblang va 10000000 ni qiymatni oling.

$$-3741300\left(-\frac{15496}{75}+21\times 10000000\times \left(\frac{1}{450}\right)^{3}\right)$$

210000000 hosil qilish uchun 21 va 10000000 ni ko'paytirish.

$$-3741300\left(-\frac{15496}{75}[phone]\times \left(\frac{1}{450}\right)^{3}\right)$$

3 daraja ko‘rsatkichini \frac{1}{450} ga hisoblang va \frac{1}{91125000} ni qiymatni oling.

$$-3741300\left(-\frac{15496}{75}[phone]\times \frac{1}{91125000}\right)$$

\frac{210000000}{91125000} hosil qilish uchun 210000000 va \frac{1}{91125000} ni ko'paytirish.

$$-3741300\left(-\frac{15496}{75}+\frac{210000000}{91125000}\right)$$

\frac{210000000}{91125000} ulushini 375000 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-3741300\left(-\frac{15496}{75}+\frac{560}{243}\right)$$

75 va 243 ning eng kichik umumiy karralisi 6075 ga teng. -\frac{15496}{75} va \frac{560}{243} ni 6075 maxraj bilan kasrlarga aylantirib oling.

$$-3741300\left(-\frac{1255176}{6075}+\frac{14000}{6075}\right)$$

-\frac{1255176}{6075} va \frac{14000}{6075} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$-3741300\times \frac{-1255176+14000}{6075}$$

-1241176 olish uchun -1255176 va 14000'ni qo'shing.

$$-3741300\left(-\frac{1241176}{6075}\right)$$

-3741300\left(-\frac{1241176}{6075}\right) ni yagona kasrga aylantiring.

$$\frac{-3741300\left(-1241176\right)}{6075}$$

4643611768800 hosil qilish uchun -3741300 va -1241176 ni ko'paytirish.

$$\frac{4643611768800}{6075}$$

\frac{4643611768800}{6075} ulushini 225 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{20638274528}{27}$$

Omil

$$\frac{2 ^ {5} \cdot 47 \cdot 3301 \cdot 4157}{3 ^ {3}} = 764380538\frac{2}{27} = 764380538,074074$$