Issolvi [(15div5)^{4}]^{3}:[(2^{2}*5*3):12*2^5:2^4]^10-1^3

$$[ ( 15 \div 5 ) ^ { 4 } ] ^ { 3 } : [ ( 2 ^ { 2 } \times 5 \times 3 ) : 12 \cdot 2 ^ { 5 } : 2 ^ { 4 } ] ^ { 10 } - 1 ^ { 3 }$$

Evalwa

$$-\frac{9999468559}{10000000000}\approx -0.999946856$$

Passi tas-Soluzzjonijiet

Biex tgħolli l-qawwa ta' numru għal qawwa oħra, immultiplika l-esponenti. Immultiplika 4 u 3 biex tikseb 12.

$$\frac{\left(\frac{15}{5}\right)^{12}}{\left(\frac{\frac{2^{2}\times 5\times 3}{12}\times 2^{5}}{2^{4}}\right)^{10}}-1^{3}$$

Iddividi 15 b'5 biex tikseb3.

$$\frac{3^{12}}{\left(\frac{\frac{2^{2}\times 5\times 3}{12}\times 2^{5}}{2^{4}}\right)^{10}}-1^{3}$$

Ikkalkula 3 bil-power ta' 12 u tikseb 531441.

$$\frac{531441}{\left(\frac{\frac{2^{2}\times 5\times 3}{12}\times 2^{5}}{2^{4}}\right)^{10}}-1^{3}$$

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

$$\frac{531441}{\left(\frac{\frac{4\times 5\times 3}{12}\times 2^{5}}{2^{4}}\right)^{10}}-1^{3}$$

Immultiplika 4 u 5 biex tikseb 20.

$$\frac{531441}{\left(\frac{\frac{20\times 3}{12}\times 2^{5}}{2^{4}}\right)^{10}}-1^{3}$$

Immultiplika 20 u 3 biex tikseb 60.

$$\frac{531441}{\left(\frac{\frac{60}{12}\times 2^{5}}{2^{4}}\right)^{10}}-1^{3}$$

Iddividi 60 b'12 biex tikseb5.

$$\frac{531441}{\left(\frac{5\times 2^{5}}{2^{4}}\right)^{10}}-1^{3}$$

Ikkalkula 2 bil-power ta' 5 u tikseb 32.

$$\frac{531441}{\left(\frac{5\times 32}{2^{4}}\right)^{10}}-1^{3}$$

Immultiplika 5 u 32 biex tikseb 160.

$$\frac{531441}{\left(\frac{160}{2^{4}}\right)^{10}}-1^{3}$$

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

$$\frac{531441}{\left(\frac{160}{16}\right)^{10}}-1^{3}$$

Iddividi 160 b'16 biex tikseb10.

$$\frac{531441}{10^{10}}-1^{3}$$

Ikkalkula 10 bil-power ta' 10 u tikseb 10000000000.

$$\frac{531441}{10000000000}-1^{3}$$

Ikkalkula 1 bil-power ta' 3 u tikseb 1.

$$\frac{531441}{10000000000}-1$$

Naqqas 1 minn \frac{531441}{10000000000} biex tikseb -\frac{9999468559}{10000000000}.

$$-\frac{9999468559}{10000000000}$$

Fattur

$$-\frac{9999468559}{10000000000} = -0.9999468559$$