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

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

Izrēķināt

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

Atrisinājuma darbības

Daliet \frac{4\pi ^{2}\times \left(228\times 10^{8}\right)^{3}}{\left(687\times 24\times 60\times 60\right)^{2}} ar \frac{372\times 6794^{2}}{4}, reizinot \frac{4\pi ^{2}\times \left(228\times 10^{8}\right)^{3}}{\left(687\times 24\times 60\times 60\right)^{2}} ar apgriezto daļskaitli \frac{372\times 6794^{2}}{4} .

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

Saīsiniet 4 gan skaitītājā, gan saucējā.

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

Aprēķiniet 10 pakāpē 8 un iegūstiet 100000000.

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

Reiziniet 228 un 100000000, lai iegūtu 22800000000.

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

Aprēķiniet 22800000000 pakāpē 3 un iegūstiet 11852352000000000000000000000000.

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

Reiziniet 4 un 11852352000000000000000000000000, lai iegūtu 47409408000000000000000000000000.

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

Aprēķiniet 6794 pakāpē 2 un iegūstiet 46158436.

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

Reiziniet 93 un 46158436, lai iegūtu 4292734548.

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

Reiziniet 24 un 60, lai iegūtu 1440.

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

Reiziniet 1440 un 60, lai iegūtu 86400.

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

Reiziniet 86400 un 687, lai iegūtu 59356800.

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

Aprēķiniet 59356800 pakāpē 2 un iegūstiet 3523229706240000.

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

Reiziniet 4292734548 un 3523229706240000, lai iegūtu 15124289880516339179520000.

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

Daliet 47409408000000000000000000000000\pi ^{2} ar 15124289880516339179520000, lai iegūtu \frac{42868750000000000000000}{13675754015223831}\pi ^{2}.

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

Paplašināt

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

Atrisinājuma darbības

Daliet \frac{4\pi ^{2}\times \left(228\times 10^{8}\right)^{3}}{\left(687\times 24\times 60\times 60\right)^{2}} ar \frac{372\times 6794^{2}}{4}, reizinot \frac{4\pi ^{2}\times \left(228\times 10^{8}\right)^{3}}{\left(687\times 24\times 60\times 60\right)^{2}} ar apgriezto daļskaitli \frac{372\times 6794^{2}}{4} .

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

Saīsiniet 4 gan skaitītājā, gan saucējā.

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

Aprēķiniet 10 pakāpē 8 un iegūstiet 100000000.

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

Reiziniet 228 un 100000000, lai iegūtu 22800000000.

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

Aprēķiniet 22800000000 pakāpē 3 un iegūstiet 11852352000000000000000000000000.

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

Reiziniet 4 un 11852352000000000000000000000000, lai iegūtu 47409408000000000000000000000000.

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

Aprēķiniet 6794 pakāpē 2 un iegūstiet 46158436.

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

Reiziniet 93 un 46158436, lai iegūtu 4292734548.

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

Reiziniet 24 un 60, lai iegūtu 1440.

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

Reiziniet 1440 un 60, lai iegūtu 86400.

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

Reiziniet 86400 un 687, lai iegūtu 59356800.

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

Aprēķiniet 59356800 pakāpē 2 un iegūstiet 3523229706240000.

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

Reiziniet 4292734548 un 3523229706240000, lai iegūtu 15124289880516339179520000.

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

Daliet 47409408000000000000000000000000\pi ^{2} ar 15124289880516339179520000, lai iegūtu \frac{42868750000000000000000}{13675754015223831}\pi ^{2}.

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