Rešite 667*10^-11*78*598*10^24/left((6378+3717)*10^6right)^22

$$667 \times { 10 }^{ -11 } \times \frac{ 78 \times 598 \times { 10 }^{ 24 } }{ { \left((6378+3717) \times { 10 }^{ 6 } \right) }^{ 22 } }$$

Ovrednoti

$$\frac{2592629}{102602481863901959327616931066952484675487695130059031043765195377822875201702117919921875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}\approx 2,526867726 \cdot 10^{-200}$$

Koraki rešitve

Izračunajte potenco 10 števila -11, da dobite \frac{1}{100000000000}.

$$667\times \frac{1}{100000000000}\times \frac{78\times 598\times 10^{24}}{\left(\left(6378+3717\right)\times 10^{6}\right)^{22}}$$

Pomnožite 667 in \frac{1}{100000000000}, da dobite \frac{667}{100000000000}.

$$\frac{667}{100000000000}\times \frac{78\times 598\times 10^{24}}{\left(\left(6378+3717\right)\times 10^{6}\right)^{22}}$$

Pomnožite 78 in 598, da dobite 46644.

$$\frac{667}{100000000000}\times \frac{46644\times 10^{24}}{\left(\left(6378+3717\right)\times 10^{6}\right)^{22}}$$

Izračunajte potenco 10 števila 24, da dobite 1000000000000000000000000.

$$\frac{667}{100000000000}\times \frac{46644\times 1000000000000000000000000}{\left(\left(6378+3717\right)\times 10^{6}\right)^{22}}$$

Pomnožite 46644 in 1000000000000000000000000, da dobite 46644000000000000000000000000.

$$\frac{667}{100000000000}\times \frac{46644000000000000000000000000}{\left(\left(6378+3717\right)\times 10^{6}\right)^{22}}$$

Seštejte 6378 in 3717, da dobite 10095.

$$\frac{667}{100000000000}\times \frac{46644000000000000000000000000}{\left(10095\times 10^{6}\right)^{22}}$$

Izračunajte potenco 10 števila 6, da dobite 1000000.

$$\frac{667}{100000000000}\times \frac{46644000000000000000000000000}{\left(10095\times 1000000\right)^{22}}$$

Pomnožite 10095 in 1000000, da dobite 10095000000.

$$\frac{667}{100000000000}\times \frac{46644000000000000000000000000}{10095000000^{22}}$$

Izračunajte potenco 10095000000 števila 22, da dobite 12312297823668235119314031728034298161058523415607083725251823445338745024204254150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000.

$$\frac{667}{100000000000}\times \frac{46644000000000000000000000000}{12312297823668235119314031728034298161058523415607083725251823445338745024204254150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}$$

Zmanjšajte ulomek \frac{46644000000000000000000000000}{12312297823668235119314031728034298161058523415607083725251823445338745024204254150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} na najmanjši imenovalec tako, da izpeljete in okrajšate 12000000000000000000000000.

$$\frac{667}{100000000000}\times \frac{3887}{1026024818639019593276169310669524846754876951300590310437651953778228752017021179199218750000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}$$

Pomnožite \frac{667}{100000000000} in \frac{3887}{1026024818639019593276169310669524846754876951300590310437651953778228752017021179199218750000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}, da dobite \frac{2592629}{102602481863901959327616931066952484675487695130059031043765195377822875201702117919921875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}.

$$\frac{2592629}{102602481863901959327616931066952484675487695130059031043765195377822875201702117919921875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}$$

Faktoriziraj

$$\frac{13 ^ {2} \cdot 23 ^ {2} \cdot 29}{2 ^ {117} \cdot 3 ^ {21} \cdot 5 ^ {141} \cdot 673 ^ {22}} = 2,5268677257135135 \times 10^{-200}$$