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

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

Ovrednoti

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

Koraki rešitve

Delite \frac{4\pi ^{2}\times \left(228\times 10^{8}\right)^{3}}{\left(687\times 24\times 60\times 60\right)^{2}} s/z \frac{372\times 6794^{2}}{4} tako, da pomnožite \frac{4\pi ^{2}\times \left(228\times 10^{8}\right)^{3}}{\left(687\times 24\times 60\times 60\right)^{2}} z obratno vrednostjo \frac{372\times 6794^{2}}{4}.

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

Okrajšaj 4 v števcu in imenovalcu.

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

Izračunajte potenco 10 števila 8, da dobite 100000000.

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

Pomnožite 228 in 100000000, da dobite 22800000000.

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

Izračunajte potenco 22800000000 števila 3, da dobite 11852352000000000000000000000000.

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

Pomnožite 4 in 11852352000000000000000000000000, da dobite 47409408000000000000000000000000.

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

Izračunajte potenco 6794 števila 2, da dobite 46158436.

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

Pomnožite 93 in 46158436, da dobite 4292734548.

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

Pomnožite 24 in 60, da dobite 1440.

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

Pomnožite 1440 in 60, da dobite 86400.

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

Pomnožite 86400 in 687, da dobite 59356800.

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

Izračunajte potenco 59356800 števila 2, da dobite 3523229706240000.

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

Pomnožite 4292734548 in 3523229706240000, da dobite 15124289880516339179520000.

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

Delite 47409408000000000000000000000000\pi ^{2} s/z 15124289880516339179520000, da dobite \frac{42868750000000000000000}{13675754015223831}\pi ^{2}.

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

Razširi

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

Koraki rešitve

Delite \frac{4\pi ^{2}\times \left(228\times 10^{8}\right)^{3}}{\left(687\times 24\times 60\times 60\right)^{2}} s/z \frac{372\times 6794^{2}}{4} tako, da pomnožite \frac{4\pi ^{2}\times \left(228\times 10^{8}\right)^{3}}{\left(687\times 24\times 60\times 60\right)^{2}} z obratno vrednostjo \frac{372\times 6794^{2}}{4}.

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

Okrajšaj 4 v števcu in imenovalcu.

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

Izračunajte potenco 10 števila 8, da dobite 100000000.

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

Pomnožite 228 in 100000000, da dobite 22800000000.

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

Izračunajte potenco 22800000000 števila 3, da dobite 11852352000000000000000000000000.

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

Pomnožite 4 in 11852352000000000000000000000000, da dobite 47409408000000000000000000000000.

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

Izračunajte potenco 6794 števila 2, da dobite 46158436.

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

Pomnožite 93 in 46158436, da dobite 4292734548.

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

Pomnožite 24 in 60, da dobite 1440.

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

Pomnožite 1440 in 60, da dobite 86400.

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

Pomnožite 86400 in 687, da dobite 59356800.

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

Izračunajte potenco 59356800 števila 2, da dobite 3523229706240000.

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

Pomnožite 4292734548 in 3523229706240000, da dobite 15124289880516339179520000.

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

Delite 47409408000000000000000000000000\pi ^{2} s/z 15124289880516339179520000, da dobite \frac{42868750000000000000000}{13675754015223831}\pi ^{2}.

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