Leysa (5000*100)/100!*e^-100

$$\frac { ( 5000 \cdot 100 ) } { 100 ! } \cdot e ^ { - 100 }$$

Meta

$$\frac{1}{186652430887888305363398477712533400981431936528763242937185927790435199986459831217882927952313036572507395841654447516502370421833728000000000000000000e^{100}}\approx 1.99304984 \cdot 10^{-196}$$

Lausnarskref

Margfaldaðu 5000 og 100 til að fá út 500000.

$$\frac{500000}{100!}e^{-100}$$

Aðfeldi 100 er 93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000.

$$\frac{500000}{93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000}e^{-100}$$

Minnka brotið \frac{500000}{93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000} eins mikið og hægt er með því að draga og stytta út 500000.

$$\frac{1}{186652430887888305363398477712533400981431936528763242937185927790435199986459831217882927952313036572507395841654447516502370421833728000000000000000000}e^{-100}$$