Rešite 25*3675/48*11*10^9*frac{25{3}*10^-6}(3*5^2-4*25^2)*1000

$$\frac{ 25 \times 3675 }{ 48 \times 11 \times { 10 }^{ 9 } \times \frac{ 25 }{ 3 } \times { 10 }^{ -6 } } (3 \times { 5 }^{ 2 } -4 \times { 25 }^{ 2 } ) \times 1000$$

Ovrednoti

$$-\frac{8911875}{176}\approx -50635,653409091$$

Koraki rešitve

Če želite pomnožiti potence z isto osnovo, seštejte njihove eksponente. Seštejte 9 in -6, da dobite 3.

$$\frac{25\times 3675}{48\times 11\times 10^{3}\times \frac{25}{3}}\left(3\times 5^{2}-4\times 25^{2}\right)\times 1000$$

Okrajšaj 3 v števcu in imenovalcu.

$$\frac{25\times 1225}{\frac{25}{3}\times 11\times 16\times 10^{3}}\left(3\times 5^{2}-4\times 25^{2}\right)\times 1000$$

Pomnožite 25 in 1225, da dobite 30625.

$$\frac{30625}{\frac{25}{3}\times 11\times 16\times 10^{3}}\left(3\times 5^{2}-4\times 25^{2}\right)\times 1000$$

Pomnožite \frac{25}{3} in 11, da dobite \frac{275}{3}.

$$\frac{30625}{\frac{275}{3}\times 16\times 10^{3}}\left(3\times 5^{2}-4\times 25^{2}\right)\times 1000$$

Pomnožite \frac{275}{3} in 16, da dobite \frac{4400}{3}.

$$\frac{30625}{\frac{4400}{3}\times 10^{3}}\left(3\times 5^{2}-4\times 25^{2}\right)\times 1000$$

Izračunajte potenco 10 števila 3, da dobite 1000.

$$\frac{30625}{\frac{4400}{3}\times 1000}\left(3\times 5^{2}-4\times 25^{2}\right)\times 1000$$

Pomnožite \frac{4400}{3} in 1000, da dobite \frac{4400000}{3}.

$$\frac{30625}{\frac{4400000}{3}}\left(3\times 5^{2}-4\times 25^{2}\right)\times 1000$$

Delite 30625 s/z \frac{4400000}{3} tako, da pomnožite 30625 z obratno vrednostjo \frac{4400000}{3}.

$$30625\times \frac{3}{4400000}\left(3\times 5^{2}-4\times 25^{2}\right)\times 1000$$

Pomnožite 30625 in \frac{3}{4400000}, da dobite \frac{147}{7040}.

$$\frac{147}{7040}\left(3\times 5^{2}-4\times 25^{2}\right)\times 1000$$

Izračunajte potenco 5 števila 2, da dobite 25.

$$\frac{147}{7040}\left(3\times 25-4\times 25^{2}\right)\times 1000$$

Pomnožite 3 in 25, da dobite 75.

$$\frac{147}{7040}\left(75-4\times 25^{2}\right)\times 1000$$

Izračunajte potenco 25 števila 2, da dobite 625.

$$\frac{147}{7040}\left(75-4\times 625\right)\times 1000$$

Pomnožite 4 in 625, da dobite 2500.

$$\frac{147}{7040}\left(75-2500\right)\times 1000$$

Odštejte 2500 od 75, da dobite -2425.

$$\frac{147}{7040}\left(-2425\right)\times 1000$$

Pomnožite \frac{147}{7040} in -2425, da dobite -\frac{71295}{1408}.

$$-\frac{71295}{1408}\times 1000$$

Pomnožite -\frac{71295}{1408} in 1000, da dobite -\frac{8911875}{176}.

$$-\frac{8911875}{176}$$

Faktoriziraj

$$-\frac{8911875}{176} = -50635\frac{115}{176} = -50635,65340909091$$