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

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

Ovrednoti

$$-\frac{9999468559}{10000000000}\approx -0,999946856$$

Koraki rešitve

Če želite potenco potencirati z drugo potenco, pomnožite eksponente. Pomnožite 4 in 3, da dobite 12.

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

Delite 15 s/z 5, da dobite 3.

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

Izračunajte potenco 3 števila 12, da dobite 531441.

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

Izračunajte potenco 2 števila 2, da dobite 4.

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

Pomnožite 4 in 5, da dobite 20.

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

Pomnožite 20 in 3, da dobite 60.

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

Delite 60 s/z 12, da dobite 5.

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

Izračunajte potenco 2 števila 5, da dobite 32.

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

Pomnožite 5 in 32, da dobite 160.

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

Izračunajte potenco 2 števila 4, da dobite 16.

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

Delite 160 s/z 16, da dobite 10.

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

Izračunajte potenco 10 števila 10, da dobite 10000000000.

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

Izračunajte potenco 1 števila 3, da dobite 1.

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

Odštejte 1 od \frac{531441}{10000000000}, da dobite -\frac{9999468559}{10000000000}.

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

Faktoriziraj

$$-\frac{9999468559}{10000000000} = -0,9999468559$$