Løs 13500000000*365*24*60*60/52!

$$\frac{ 13500000000 \times 365 \times 24 \times 60 \times 60 }{ 52 ! }$$

Evaluer

$$\frac{73}{13830276949750322114482276552881304351044153882181632}\approx 5,278274634 \cdot 10^{-51}$$

Løsningsvejledning

Multiplicer 13500000000 og 365 for at få 4927500000000.

$$\frac{4927500000000\times 24\times 60\times 60}{52!}$$

Multiplicer 4927500000000 og 24 for at få 118260000000000.

$$\frac{118260000000000\times 60\times 60}{52!}$$

Multiplicer 118260000000000 og 60 for at få 7095600000000000.

$$\frac{7095600000000000\times 60}{52!}$$

Multiplicer 7095600000000000 og 60 for at få 425736000000000000.

$$\frac{425736000000000000}{52!}$$

Fakulteten af 52 er 80658175170943878571660636856403766975289505440883277824000000000000.

$$\frac{425736000000000000}{80658175170943878571660636856403766975289505440883277824000000000000}$$

Reducer fraktionen \frac{425736000000000000}{80658175170943878571660636856403766975289505440883277824000000000000} til de laveste led ved at udtrække og annullere 5832000000000000.

$$\frac{73}{13830276949750322114482276552881304351044153882181632}$$

Faktoriser

$$\frac{73}{2 ^ {34} \cdot 3 ^ {17} \cdot 7 ^ {8} \cdot 11 ^ {4} \cdot 13 ^ {4} \cdot 17 ^ {3} \cdot 19 ^ {2} \cdot 23 ^ {2} \cdot 29 \cdot 31 \cdot 37 \cdot 41 \cdot 43 \cdot 47} = 5,278274633633989 \times 10^{-51}$$