Issolvi 400-5:{32+(-2)*[18-2*(16-(-2)^4)]}+(-5)^4*(-5)^2=

$$400 - 5 : \{ 32 + ( - 2 ) \cdot [ 18 - 2 \cdot ( 16 - ( - 2 ) ^ { 4 } ) ] \} + ( - 5 ) ^ { 4 } \cdot ( - 5 ) ^ { 2 } =$$

Evalwa

$$\frac{64105}{4}=16026.25$$

Passi tas-Soluzzjonijiet

Biex timmultiplika l-qawwa tal-istess bażi, żid l-esponenti tagħhom. Żid 4 u 2 biex tikseb 6.

$$400-\frac{5}{32-2\left(18-2\left(16-\left(-2\right)^{4}\right)\right)}+\left(-5\right)^{6}$$

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

$$400-\frac{5}{32-2\left(18-2\left(16-16\right)\right)}+\left(-5\right)^{6}$$

Naqqas 16 minn 16 biex tikseb 0.

$$400-\frac{5}{32-2\left(18-2\times 0\right)}+\left(-5\right)^{6}$$

Immultiplika 2 u 0 biex tikseb 0.

$$400-\frac{5}{32-2\left(18-0\right)}+\left(-5\right)^{6}$$

Naqqas 0 minn 18 biex tikseb 18.

$$400-\frac{5}{32-2\times 18}+\left(-5\right)^{6}$$

Immultiplika -2 u 18 biex tikseb -36.

$$400-\frac{5}{32-36}+\left(-5\right)^{6}$$

Naqqas 36 minn 32 biex tikseb -4.

$$400-\frac{5}{-4}+\left(-5\right)^{6}$$

Frazzjoni \frac{5}{-4} tista' tinkiteb mill-ġdid bħala -\frac{5}{4} bl-estrazzjoni tas-sinjal negattiv.

$$400-\left(-\frac{5}{4}\right)+\left(-5\right)^{6}$$

L-oppost ta' -\frac{5}{4} huwa \frac{5}{4}.

$$400+\frac{5}{4}+\left(-5\right)^{6}$$

Ikkonverti 400 fi frazzjoni \frac{1600}{4}.

$$\frac{1600}{4}+\frac{5}{4}+\left(-5\right)^{6}$$

Billi \frac{1600}{4} u \frac{5}{4} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{1600+5}{4}+\left(-5\right)^{6}$$

Żid 1600 u 5 biex tikseb 1605.

$$\frac{1605}{4}+\left(-5\right)^{6}$$

Ikkalkula -5 bil-power ta' 6 u tikseb 15625.

$$\frac{1605}{4}+15625$$

Ikkonverti 15625 fi frazzjoni \frac{62500}{4}.

$$\frac{1605}{4}+\frac{62500}{4}$$

Billi \frac{1605}{4} u \frac{62500}{4} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{1605+62500}{4}$$

Żid 1605 u 62500 biex tikseb 64105.

$$\frac{64105}{4}$$

Fattur

$$\frac{5 \cdot 12821}{2 ^ {2}} = 16026\frac{1}{4} = 16026.25$$