Ratkaise (38*10^8)^3/(273*24*3600)^2=

$$\frac { ( 38 \times 10 ^ { 8 } ) ^ { 3 } } { ( 273 \times 24 \times 3600 ) ^ { 2 } } =$$

Laske

$$\frac{5358593750000000000000}{54331641}\approx 9,862749682 \cdot 10^{13}$$

Ratkaisun vaiheet

Laske 10 potenssiin 8, jolloin ratkaisuksi tulee 100000000.

$$\frac{\left(38\times 100000000\right)^{3}}{\left(273\times 24\times 3600\right)^{2}}$$

Kerro 38 ja 100000000, niin saadaan 3800000000.

$$\frac{3800000000^{3}}{\left(273\times 24\times 3600\right)^{2}}$$

Laske 3800000000 potenssiin 3, jolloin ratkaisuksi tulee 54872000000000000000000000000.

$$\frac{54872000000000000000000000000}{\left(273\times 24\times 3600\right)^{2}}$$

Kerro 273 ja 24, niin saadaan 6552.

$$\frac{54872000000000000000000000000}{\left(6552\times 3600\right)^{2}}$$

Kerro 6552 ja 3600, niin saadaan 23587200.

$$\frac{54872000000000000000000000000}{23587200^{2}}$$

Laske 23587200 potenssiin 2, jolloin ratkaisuksi tulee 556356003840000.

$$\frac{54872000000000000000000000000}{556356003840000}$$

Supista murtoluku \frac{54872000000000000000000000000}{556356003840000} luvulla 10240000.

$$\frac{5358593750000000000000}{54331641}$$

Jaa tekijöihin

$$\frac{2 ^ {13} \cdot 5 ^ {20} \cdot 19 ^ {3}}{3 ^ {8} \cdot 7 ^ {2} \cdot 13 ^ {2}} = 98627496820867\frac{13150357}{54331641} = 98627496820867,23$$