Issolvi (frac{2^{2}+3^{3}+4^2}{2^4*3^2})^2

$$( \frac { 2 ^ { 2 } + 3 ^ { 3 } + 4 ^ { 2 } } { 2 ^ { 4 } * 3 ^ { 2 } } ) ^ { 2 }$$

Evalwa

$$\frac{2209}{20736}\approx 0.106529707$$

Passi tas-Soluzzjonijiet

Ikkalkula 2 bil-power ta' 2 u tikseb 4.

$$\left(\frac{4+3^{3}+4^{2}}{2^{4}\times 3^{2}}\right)^{2}$$

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

$$\left(\frac{4+27+4^{2}}{2^{4}\times 3^{2}}\right)^{2}$$

Żid 4 u 27 biex tikseb 31.

$$\left(\frac{31+4^{2}}{2^{4}\times 3^{2}}\right)^{2}$$

Ikkalkula 4 bil-power ta' 2 u tikseb 16.

$$\left(\frac{31+16}{2^{4}\times 3^{2}}\right)^{2}$$

Żid 31 u 16 biex tikseb 47.

$$\left(\frac{47}{2^{4}\times 3^{2}}\right)^{2}$$

Ikkalkula 2 bil-power ta' 4 u tikseb 16.

$$\left(\frac{47}{16\times 3^{2}}\right)^{2}$$

Ikkalkula 3 bil-power ta' 2 u tikseb 9.

$$\left(\frac{47}{16\times 9}\right)^{2}$$

Immultiplika 16 u 9 biex tikseb 144.

$$\left(\frac{47}{144}\right)^{2}$$

Ikkalkula \frac{47}{144} bil-power ta' 2 u tikseb \frac{2209}{20736}.

$$\frac{2209}{20736}$$

Fattur

$$\frac{47 ^ {2}}{2 ^ {8} \cdot 3 ^ {4}} = 0.10652970679012345$$