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

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

Izrēķināt

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

Atrisinājuma darbības

Lai reizinātu vienas bāzes pakāpes, saskaitiet kāpinātājus. Saskaitiet 9 un -6, lai iegūtu 3.

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

Saīsiniet 3 gan skaitītājā, gan saucējā.

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

Reiziniet 25 un 1225, lai iegūtu 30625.

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

Reiziniet \frac{25}{3} un 11, lai iegūtu \frac{275}{3}.

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

Reiziniet \frac{275}{3} un 16, lai iegūtu \frac{4400}{3}.

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

Aprēķiniet 10 pakāpē 3 un iegūstiet 1000.

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

Reiziniet \frac{4400}{3} un 1000, lai iegūtu \frac{4400000}{3}.

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

Daliet 30625 ar \frac{4400000}{3}, reizinot 30625 ar apgriezto daļskaitli \frac{4400000}{3} .

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

Reiziniet 30625 un \frac{3}{4400000}, lai iegūtu \frac{147}{7040}.

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

Aprēķiniet 5 pakāpē 2 un iegūstiet 25.

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

Reiziniet 3 un 25, lai iegūtu 75.

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

Aprēķiniet 25 pakāpē 2 un iegūstiet 625.

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

Reiziniet 4 un 625, lai iegūtu 2500.

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

Atņemiet 2500 no 75, lai iegūtu -2425.

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

Reiziniet \frac{147}{7040} un -2425, lai iegūtu -\frac{71295}{1408}.

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

Reiziniet -\frac{71295}{1408} un 1000, lai iegūtu -\frac{8911875}{176}.

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

Sadalīt reizinātājos

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