Ratkaise 667*64219*19891*10^42/2279410^11

$$667 \times \frac{ 64219 \cdot 19891 \times { 10 }^{ 42 } }{ 22794 { 10 }^{ 11 } }$$

Laske

$$\frac{146898714835000000000000000000000000000000}{393}\approx 3,737880785 \cdot 10^{38}$$

Ratkaisun vaiheet

Supista 10^{11} sekä osoittajasta että nimittäjästä.

$$667\times \frac{19891\times 64219\times 10^{31}}{22794}$$

Kerro 19891 ja 64219, niin saadaan 1277380129.

$$667\times \frac{1277380129\times 10^{31}}{22794}$$

Laske 10 potenssiin 31, jolloin ratkaisuksi tulee 10000000000000000000000000000000.

$$667\times \frac{1277380129\times 10000000000000000000000000000000}{22794}$$

Kerro 1277380129 ja 10000000000000000000000000000000, niin saadaan 12773801290000000000000000000000000000000.

$$667\times \frac{12773801290000000000000000000000000000000}{22794}$$

Supista murtoluku \frac{12773801290000000000000000000000000000000}{22794} luvulla 2.

$$667\times \frac{6386900645000000000000000000000000000000}{11397}$$

Ilmaise 667\times \frac{6386900645000000000000000000000000000000}{11397} säännöllisenä murtolukuna.

$$\frac{667\times 6386900645000000000000000000000000000000}{11397}$$

Kerro 667 ja 6386900645000000000000000000000000000000, niin saadaan 4260062730215000000000000000000000000000000.

$$\frac{4260062730215000000000000000000000000000000}{11397}$$

Supista murtoluku \frac{4260062730215000000000000000000000000000000}{11397} luvulla 29.

$$\frac{146898714835000000000000000000000000000000}{393}$$

Jaa tekijöihin

$$\frac{2 ^ {30} \cdot 5 ^ {31} \cdot 23 \cdot 149 \cdot 431 \cdot 19891}{3 \cdot 131} = 3,7378807846055984 \times 10^{38}\frac{123}{393} = 3,7378807846055984 \times 10^{38}$$