(3:2)^3+(5-2)^3+(9:2)^2-(5/2-1)^2= eching

$$( 3 : 2 ) ^ { 3 } + ( 5 - 2 ) ^ { 3 } + ( 9 : 2 ) ^ { 2 } - ( \frac { 5 } { 2 } - 1 ) ^ { 2 } =$$

Baholash

$$\frac{387}{8}=48,375$$

Yechim qadamlari

3 daraja ko‘rsatkichini \frac{3}{2} ga hisoblang va \frac{27}{8} ni qiymatni oling.

$$\frac{27}{8}+\left(5-2\right)^{3}+\left(\frac{9}{2}\right)^{2}-\left(\frac{5}{2}-1\right)^{2}$$

3 olish uchun 5 dan 2 ni ayirish.

$$\frac{27}{8}+3^{3}+\left(\frac{9}{2}\right)^{2}-\left(\frac{5}{2}-1\right)^{2}$$

3 daraja ko‘rsatkichini 3 ga hisoblang va 27 ni qiymatni oling.

$$\frac{27}{8}+27+\left(\frac{9}{2}\right)^{2}-\left(\frac{5}{2}-1\right)^{2}$$

\frac{243}{8} olish uchun \frac{27}{8} va 27'ni qo'shing.

$$\frac{243}{8}+\left(\frac{9}{2}\right)^{2}-\left(\frac{5}{2}-1\right)^{2}$$

2 daraja ko‘rsatkichini \frac{9}{2} ga hisoblang va \frac{81}{4} ni qiymatni oling.

$$\frac{243}{8}+\frac{81}{4}-\left(\frac{5}{2}-1\right)^{2}$$

\frac{405}{8} olish uchun \frac{243}{8} va \frac{81}{4}'ni qo'shing.

$$\frac{405}{8}-\left(\frac{5}{2}-1\right)^{2}$$

\frac{3}{2} olish uchun \frac{5}{2} dan 1 ni ayirish.

$$\frac{405}{8}-\left(\frac{3}{2}\right)^{2}$$

2 daraja ko‘rsatkichini \frac{3}{2} ga hisoblang va \frac{9}{4} ni qiymatni oling.

$$\frac{405}{8}-\frac{9}{4}$$

\frac{387}{8} olish uchun \frac{405}{8} dan \frac{9}{4} ni ayirish.

$$\frac{387}{8}$$

Omil

$$\frac{3 ^ {2} \cdot 43}{2 ^ {3}} = 48\frac{3}{8} = 48,375$$