Los 4*314^2left(15*10^11right)^3/6672*10^-11{left(365*24*3600right)^2} op

$$\frac{ 4 \times { 314 }^{ 2 } { \left(15 \times { 10 }^{ 11 } \right) }^{ 3 } }{ 6672 \times { 10 }^{ -11 } { \left(365 \times 24 \times 3600 \right) }^{ 2 } }$$

Evalueren

$$\frac{1203564453125000000000000000000000000000000}{59999211}\approx 2,005967134 \cdot 10^{34}$$

Oplossingsstappen

Streep 4 weg in de teller en in de noemer.

$$\frac{314^{2}\times \left(15\times 10^{11}\right)^{3}}{1668\times 10^{-11}\times \left(24\times 365\times 3600\right)^{2}}$$

Bereken 314 tot de macht van 2 en krijg 98596.

$$\frac{98596\times \left(15\times 10^{11}\right)^{3}}{1668\times 10^{-11}\times \left(24\times 365\times 3600\right)^{2}}$$

Bereken 10 tot de macht van 11 en krijg 100000000000.

$$\frac{98596\times \left(15\times 100000000000\right)^{3}}{1668\times 10^{-11}\times \left(24\times 365\times 3600\right)^{2}}$$

Vermenigvuldig 15 en 100000000000 om 1500000000000 te krijgen.

$$\frac{98596\times 1500000000000^{3}}{1668\times 10^{-11}\times \left(24\times 365\times 3600\right)^{2}}$$

Bereken 1500000000000 tot de macht van 3 en krijg 3375000000000000000000000000000000000.

$$\frac{98596\times 3375000000000000000000000000000000000}{1668\times 10^{-11}\times \left(24\times 365\times 3600\right)^{2}}$$

Vermenigvuldig 98596 en 3375000000000000000000000000000000000 om 332761500000000000000000000000000000000000 te krijgen.

$$\frac{332761500000000000000000000000000000000000}{1668\times 10^{-11}\times \left(24\times 365\times 3600\right)^{2}}$$

Bereken 10 tot de macht van -11 en krijg \frac{1}{100000000000}.

$$\frac{332761500000000000000000000000000000000000}{1668\times \frac{1}{100000000000}\times \left(24\times 365\times 3600\right)^{2}}$$

Vermenigvuldig 1668 en \frac{1}{100000000000} om \frac{417}{25000000000} te krijgen.

$$\frac{332761500000000000000000000000000000000000}{\frac{417}{25000000000}\times \left(24\times 365\times 3600\right)^{2}}$$

Vermenigvuldig 24 en 365 om 8760 te krijgen.

$$\frac{332761500000000000000000000000000000000000}{\frac{417}{25000000000}\times \left(8760\times 3600\right)^{2}}$$

Vermenigvuldig 8760 en 3600 om 31536000 te krijgen.

$$\frac{332761500000000000000000000000000000000000}{\frac{417}{25000000000}\times 31536000^{2}}$$

Bereken 31536000 tot de macht van 2 en krijg 994519296000000.

$$\frac{332761500000000000000000000000000000000000}{\frac{417}{25000000000}\times 994519296000000}$$

Vermenigvuldig \frac{417}{25000000000} en 994519296000000 om \frac{51839318304}{3125} te krijgen.

$$\frac{332761500000000000000000000000000000000000}{\frac{51839318304}{3125}}$$

Deel 332761500000000000000000000000000000000000 door \frac{51839318304}{3125} door 332761500000000000000000000000000000000000 te vermenigvuldigen met de omgekeerde waarde van \frac{51839318304}{3125}.

$$332761500000000000000000000000000000000000\times \frac{3125}{51839318304}$$

Vermenigvuldig 332761500000000000000000000000000000000000 en \frac{3125}{51839318304} om \frac{1203564453125000000000000000000000000000000}{59999211} te krijgen.

$$\frac{1203564453125000000000000000000000000000000}{59999211}$$

Factoriseren

$$\frac{2 ^ {30} \cdot 5 ^ {41} \cdot 157 ^ {2}}{3 ^ {4} \cdot 73 ^ {2} \cdot 139} = 2,0059671336761413 \times 10^{34}\frac{12011377}{59999211} = 2,0059671336761413 \times 10^{34}$$