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

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

Evalwa

$$\frac{387}{8}=48.375$$

Passi tas-Soluzzjonijiet

Ikkalkula \frac{3}{2} bil-power ta' 3 u tikseb \frac{27}{8}.

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

Naqqas 2 minn 5 biex tikseb 3.

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

Ikkalkula 3 bil-power ta' 3 u tikseb 27.

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

Żid \frac{27}{8} u 27 biex tikseb \frac{243}{8}.

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

Ikkalkula \frac{9}{2} bil-power ta' 2 u tikseb \frac{81}{4}.

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

Żid \frac{243}{8} u \frac{81}{4} biex tikseb \frac{405}{8}.

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

Naqqas 1 minn \frac{5}{2} biex tikseb \frac{3}{2}.

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

Ikkalkula \frac{3}{2} bil-power ta' 2 u tikseb \frac{9}{4}.

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

Naqqas \frac{9}{4} minn \frac{405}{8} biex tikseb \frac{387}{8}.

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

Fattur

$$\frac{3 ^ {2} \cdot 43}{2 ^ {3}} = 48\frac{3}{8} = 48.375$$