Solucionar 4*pi^2*left(228*10^8right)^3divleft(687*24*60*60right)^2/372*{6794^2div4}

$$\frac{ 4 \times { \pi }^{ 2 } \times { \left(228 \times { 10 }^{ 8 } \right) }^{ 3 } \div { \left(687 \times 24 \times 60 \times 60 \right) }^{ 2 } }{ 372 \times { 6794 }^{ 2 } \div 4 }$$

Calcular

$$\frac{42868750000000000000000\pi ^{2}}{13675754015223831}\approx 30937789,843119998$$

Pasos de la solución

Divide \frac{4\pi ^{2}\times \left(228\times 10^{8}\right)^{3}}{\left(687\times 24\times 60\times 60\right)^{2}} por \frac{372\times 6794^{2}}{4} al multiplicar \frac{4\pi ^{2}\times \left(228\times 10^{8}\right)^{3}}{\left(687\times 24\times 60\times 60\right)^{2}} por el recíproco de \frac{372\times 6794^{2}}{4}.

$$\frac{4\pi ^{2}\times \left(228\times 10^{8}\right)^{3}\times 4}{\left(687\times 24\times 60\times 60\right)^{2}\times 372\times 6794^{2}}$$

Anula 4 tanto en el numerador como en el denominador.

$$\frac{4\pi ^{2}\times \left(228\times 10^{8}\right)^{3}}{93\times 6794^{2}\times \left(24\times 60\times 60\times 687\right)^{2}}$$

Calcula 10 a la potencia de 8 y obtiene 100000000.

$$\frac{4\pi ^{2}\times \left(228\times 100000000\right)^{3}}{93\times 6794^{2}\times \left(24\times 60\times 60\times 687\right)^{2}}$$

Multiplica 228 y 100000000 para obtener 22800000000.

$$\frac{4\pi ^{2}\times 22800000000^{3}}{93\times 6794^{2}\times \left(24\times 60\times 60\times 687\right)^{2}}$$

Calcula 22800000000 a la potencia de 3 y obtiene 11852352000000000000000000000000.

$$\frac{4\pi ^{2}\times 11852352000000000000000000000000}{93\times 6794^{2}\times \left(24\times 60\times 60\times 687\right)^{2}}$$

Multiplica 4 y 11852352000000000000000000000000 para obtener 47409408000000000000000000000000.

$$\frac{47409408000000000000000000000000\pi ^{2}}{93\times 6794^{2}\times \left(24\times 60\times 60\times 687\right)^{2}}$$

Calcula 6794 a la potencia de 2 y obtiene 46158436.

$$\frac{47409408000000000000000000000000\pi ^{2}}{93\times 46158436\times \left(24\times 60\times 60\times 687\right)^{2}}$$

Multiplica 93 y 46158436 para obtener 4292734548.

$$\frac{47409408000000000000000000000000\pi ^{2}}{4292734548\times \left(24\times 60\times 60\times 687\right)^{2}}$$

Multiplica 24 y 60 para obtener 1440.

$$\frac{47409408000000000000000000000000\pi ^{2}}{4292734548\times \left(1440\times 60\times 687\right)^{2}}$$

Multiplica 1440 y 60 para obtener 86400.

$$\frac{47409408000000000000000000000000\pi ^{2}}{4292734548\times \left(86400\times 687\right)^{2}}$$

Multiplica 86400 y 687 para obtener 59356800.

$$\frac{47409408000000000000000000000000\pi ^{2}}{4292734548\times 59356800^{2}}$$

Calcula 59356800 a la potencia de 2 y obtiene 3523229706240000.

$$\frac{47409408000000000000000000000000\pi ^{2}}{4292734548\times 3523229706240000}$$

Multiplica 4292734548 y 3523229706240000 para obtener 15124289880516339179520000.

$$\frac{47409408000000000000000000000000\pi ^{2}}{15124289880516339179520000}$$

Divide 47409408000000000000000000000000\pi ^{2} entre 15124289880516339179520000 para obtener \frac{42868750000000000000000}{13675754015223831}\pi ^{2}.

$$\frac{42868750000000000000000}{13675754015223831}\pi ^{2}$$

Expandir

$$\frac{42868750000000000000000 \pi ^ {2}}{13675754015223831} = 30937789\frac{11530301708766792}{13675754015223832} = 30937789,843119998$$

Pasos de la solución

Divide \frac{4\pi ^{2}\times \left(228\times 10^{8}\right)^{3}}{\left(687\times 24\times 60\times 60\right)^{2}} por \frac{372\times 6794^{2}}{4} al multiplicar \frac{4\pi ^{2}\times \left(228\times 10^{8}\right)^{3}}{\left(687\times 24\times 60\times 60\right)^{2}} por el recíproco de \frac{372\times 6794^{2}}{4}.

$$\frac{4\pi ^{2}\times \left(228\times 10^{8}\right)^{3}\times 4}{\left(687\times 24\times 60\times 60\right)^{2}\times 372\times 6794^{2}}$$

Anula 4 tanto en el numerador como en el denominador.

$$\frac{4\pi ^{2}\times \left(228\times 10^{8}\right)^{3}}{93\times 6794^{2}\times \left(24\times 60\times 60\times 687\right)^{2}}$$

Calcula 10 a la potencia de 8 y obtiene 100000000.

$$\frac{4\pi ^{2}\times \left(228\times 100000000\right)^{3}}{93\times 6794^{2}\times \left(24\times 60\times 60\times 687\right)^{2}}$$

Multiplica 228 y 100000000 para obtener 22800000000.

$$\frac{4\pi ^{2}\times 22800000000^{3}}{93\times 6794^{2}\times \left(24\times 60\times 60\times 687\right)^{2}}$$

Calcula 22800000000 a la potencia de 3 y obtiene 11852352000000000000000000000000.

$$\frac{4\pi ^{2}\times 11852352000000000000000000000000}{93\times 6794^{2}\times \left(24\times 60\times 60\times 687\right)^{2}}$$

Multiplica 4 y 11852352000000000000000000000000 para obtener 47409408000000000000000000000000.

$$\frac{47409408000000000000000000000000\pi ^{2}}{93\times 6794^{2}\times \left(24\times 60\times 60\times 687\right)^{2}}$$

Calcula 6794 a la potencia de 2 y obtiene 46158436.

$$\frac{47409408000000000000000000000000\pi ^{2}}{93\times 46158436\times \left(24\times 60\times 60\times 687\right)^{2}}$$

Multiplica 93 y 46158436 para obtener 4292734548.

$$\frac{47409408000000000000000000000000\pi ^{2}}{4292734548\times \left(24\times 60\times 60\times 687\right)^{2}}$$

Multiplica 24 y 60 para obtener 1440.

$$\frac{47409408000000000000000000000000\pi ^{2}}{4292734548\times \left(1440\times 60\times 687\right)^{2}}$$

Multiplica 1440 y 60 para obtener 86400.

$$\frac{47409408000000000000000000000000\pi ^{2}}{4292734548\times \left(86400\times 687\right)^{2}}$$

Multiplica 86400 y 687 para obtener 59356800.

$$\frac{47409408000000000000000000000000\pi ^{2}}{4292734548\times 59356800^{2}}$$

Calcula 59356800 a la potencia de 2 y obtiene 3523229706240000.

$$\frac{47409408000000000000000000000000\pi ^{2}}{4292734548\times 3523229706240000}$$

Multiplica 4292734548 y 3523229706240000 para obtener 15124289880516339179520000.

$$\frac{47409408000000000000000000000000\pi ^{2}}{15124289880516339179520000}$$

Divide 47409408000000000000000000000000\pi ^{2} entre 15124289880516339179520000 para obtener \frac{42868750000000000000000}{13675754015223831}\pi ^{2}.

$$\frac{42868750000000000000000}{13675754015223831}\pi ^{2}$$