(31/8)^12*(8/7)^11*(-2)^3 eching

$$( 3 \frac { 1 } { 8 } ) ^ { 12 } \times ( \frac { 8 } { 7 } ) ^ { 11 } \times ( - 2 ) ^ { 3 }$$

Baholash

$$-\frac{59604644775390625}{1977326743}\approx -30144054,333154096$$

Yechim qadamlari

24 hosil qilish uchun 3 va 8 ni ko'paytirish.

$$\left(\frac{24+1}{8}\right)^{12}\times \left(\frac{8}{7}\right)^{11}\left(-2\right)^{3}$$

25 olish uchun 24 va 1'ni qo'shing.

$$\left(\frac{25}{8}\right)^{12}\times \left(\frac{8}{7}\right)^{11}\left(-2\right)^{3}$$

12 daraja ko‘rsatkichini \frac{25}{8} ga hisoblang va \frac{59604644775390625}{68719476736} ni qiymatni oling.

$$\frac{59604644775390625}{68719476736}\times \left(\frac{8}{7}\right)^{11}\left(-2\right)^{3}$$

11 daraja ko‘rsatkichini \frac{8}{7} ga hisoblang va \frac{8589934592}{1977326743} ni qiymatni oling.

$$\frac{59604644775390625}{68719476736}\times \frac{8589934592}{1977326743}\left(-2\right)^{3}$$

\frac{59604644775390625}{15818613944} hosil qilish uchun \frac{59604644775390625}{68719476736} va \frac{8589934592}{1977326743} ni ko'paytirish.

$$\frac{59604644775390625}{15818613944}\left(-2\right)^{3}$$

3 daraja ko‘rsatkichini -2 ga hisoblang va -8 ni qiymatni oling.

$$\frac{59604644775390625}{15818613944}\left(-8\right)$$

-\frac{59604644775390625}{1977326743} hosil qilish uchun \frac{59604644775390625}{15818613944} va -8 ni ko'paytirish.

$$-\frac{59604644775390625}{1977326743}$$

Omil

$$-\frac{59604644775390625}{1977326743} = -30144054\frac{658754502}{1977326743} = -30144054,333154093$$