Ratkaise 500left(103div4right)^22

$$500 { \left(103 \div 4 \right) }^{ 22 }$$

Laske

$$\frac{23951292610759763911166671100168162350552026125}{4398046511104}=5,445893433 \cdot 10^{33}$$

Ratkaisun vaiheet

Laske \frac{103}{4} potenssiin 22, jolloin ratkaisuksi tulee \frac{191610340886078111289333368801345298804416209}{17592186044416}.

$$500\times \frac{191610340886078111289333368801345298804416209}{17592186044416}$$

Ilmaise 500\times \frac{191610340886078111289333368801345298804416209}{17592186044416} säännöllisenä murtolukuna.

$$\frac{500\times 191610340886078111289333368801345298804416209}{17592186044416}$$

Kerro 500 ja 191610340886078111289333368801345298804416209, niin saadaan 95805170443039055644666684400672649402208104500.

$$\frac{95805170443039055644666684400672649402208104500}{17592186044416}$$

Supista murtoluku \frac{95805170443039055644666684400672649402208104500}{17592186044416} luvulla 4.

$$\frac{23951292610759763911166671100168162350552026125}{4398046511104}$$

Jaa tekijöihin

$$\frac{5 ^ {3} \cdot 103 ^ {22}}{2 ^ {42}} = 5,445893432524772 \times 10^{33}$$