Issolvi {c}{12-3^{4}*(6^{4}:2^{4})+3^{8}=12}{6^{2}-(4^2)^2:(2^4)=4^2}

$$\left. \begin{array} { c } { 12 - 3 ^ { 4 } \cdot ( 6 ^ { 4 } : 2 ^ { 4 } ) + 3 ^ { 8 } = 12 } \\ { 6 ^ { 2 } - ( 4 ^ { 2 } ) ^ { 2 } : ( 2 ^ { 4 } ) = 4 ^ { 2 } } \end{array} \right.$$

Ivverifika

Passi tas-Soluzzjonijiet

Biex tgħolli l-qawwa ta' numru għal qawwa oħra, immultiplika l-esponenti. Immultiplika 2 u 2 biex tikseb 4.

$$12-3^{4}\times \frac{6^{4}}{2^{4}}+3^{8}=12\text{ and }6^{2}-\frac{4^{4}}{2^{4}}=4^{2}$$

Ikkalkula 3 bil-power ta' 4 u tikseb 81.

$$12-81\times \frac{6^{4}}{2^{4}}+3^{8}=12\text{ and }6^{2}-\frac{4^{4}}{2^{4}}=4^{2}$$

Ikkalkula 6 bil-power ta' 4 u tikseb 1296.

$$12-81\times \frac{1296}{2^{4}}+3^{8}=12\text{ and }6^{2}-\frac{4^{4}}{2^{4}}=4^{2}$$

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

$$12-81\times \frac{1296}{16}+3^{8}=12\text{ and }6^{2}-\frac{4^{4}}{2^{4}}=4^{2}$$

Iddividi 1296 b'16 biex tikseb81.

$$12-81\times 81+3^{8}=12\text{ and }6^{2}-\frac{4^{4}}{2^{4}}=4^{2}$$

Immultiplika 81 u 81 biex tikseb 6561.

$$12-6561+3^{8}=12\text{ and }6^{2}-\frac{4^{4}}{2^{4}}=4^{2}$$

Naqqas 6561 minn 12 biex tikseb -6549.

$$-6549+3^{8}=12\text{ and }6^{2}-\frac{4^{4}}{2^{4}}=4^{2}$$

Ikkalkula 3 bil-power ta' 8 u tikseb 6561.

$$-6549+6561=12\text{ and }6^{2}-\frac{4^{4}}{2^{4}}=4^{2}$$

Żid -6549 u 6561 biex tikseb 12.

$$12=12\text{ and }6^{2}-\frac{4^{4}}{2^{4}}=4^{2}$$

Qabbel 12 u 12.

$$\text{true}\text{ and }6^{2}-\frac{4^{4}}{2^{4}}=4^{2}$$

Ikkalkula 6 bil-power ta' 2 u tikseb 36.

$$\text{true}\text{ and }36-\frac{4^{4}}{2^{4}}=4^{2}$$

Ikkalkula 4 bil-power ta' 4 u tikseb 256.

$$\text{true}\text{ and }36-\frac{256}{2^{4}}=4^{2}$$

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

$$\text{true}\text{ and }36-\frac{256}{16}=4^{2}$$

Iddividi 256 b'16 biex tikseb16.

$$\text{true}\text{ and }36-16=4^{2}$$

Naqqas 16 minn 36 biex tikseb 20.

$$\text{true}\text{ and }20=4^{2}$$

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

$$\text{true}\text{ and }20=16$$

Qabbel 20 u 16.

$$\text{true}\text{ and }\text{false}$$

Il-conjunction ta' \text{true} u \text{false} hija \text{false}.

$$\text{false}$$