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

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

Calcular

$$-\frac{8911875}{176}\approx -50635.653409091$$

Pasos da solución

Para multiplicar potencias da mesma base, suma os seus expoñentes. Suma 9 e -6 para obter 3.

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

Anula 3 no numerador e no denominador.

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

Multiplica 25 e 1225 para obter 30625.

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

Multiplica \frac{25}{3} e 11 para obter \frac{275}{3}.

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

Multiplica \frac{275}{3} e 16 para obter \frac{4400}{3}.

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

Calcula 10 á potencia de 3 e obtén 1000.

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

Multiplica \frac{4400}{3} e 1000 para obter \frac{4400000}{3}.

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

Divide 30625 entre \frac{4400000}{3} mediante a multiplicación de 30625 polo recíproco de \frac{4400000}{3}.

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

Multiplica 30625 e \frac{3}{4400000} para obter \frac{147}{7040}.

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

Calcula 5 á potencia de 2 e obtén 25.

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

Multiplica 3 e 25 para obter 75.

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

Calcula 25 á potencia de 2 e obtén 625.

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

Multiplica 4 e 625 para obter 2500.

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

Resta 2500 de 75 para obter -2425.

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

Multiplica \frac{147}{7040} e -2425 para obter -\frac{71295}{1408}.

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

Multiplica -\frac{71295}{1408} e 1000 para obter -\frac{8911875}{176}.

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

Factorizar

$$-\frac{8911875}{176} = -50635\frac{115}{176} = -50635.65340909091$$