Réitigh 6.67+10^-11*1.989*10^30/(148.54*10^9)^2

$$6.67 + 10 ^ { - 11 } \cdot 1.989 * 10 ^ { 30 } / ( 148.54 * 10 ^ { 9 } ) ^ { 2 }$$

Luacháil

$$\frac{36796911943}{5516032900}\approx 6.670901463$$

Céimeanna Réitigh

Chun cumhachtaí den bhonn céanna a iolrú, suimigh a n-easpónaint. Suimigh -11 agus 30 chun 19 a bhaint amach.

$$6.67+\frac{10^{19}\times 1.989}{\left(148.54\times 10^{9}\right)^{2}}$$

Ríomh cumhacht 10 de 19 agus faigh 10000000000000000000.

$$6.67+\frac{10000000000000000000\times 1.989}{\left(148.54\times 10^{9}\right)^{2}}$$

Méadaigh 10000000000000000000 agus 1.989 chun 19890000000000000000 a fháil.

$$6.67+\frac{19890000000000000000}{\left(148.54\times 10^{9}\right)^{2}}$$

Ríomh cumhacht 10 de 9 agus faigh 1000000000.

$$6.67+\frac{19890000000000000000}{\left(148.54\times 1000000000\right)^{2}}$$

Méadaigh 148.54 agus 1000000000 chun 148540000000 a fháil.

$$6.67+\frac{19890000000000000000}{148540000000^{2}}$$

Ríomh cumhacht 148540000000 de 2 agus faigh 22064131600000000000000.

$$6.67+\frac{19890000000000000000}{22064131600000000000000}$$

Laghdaigh an codán \frac{19890000000000000000}{22064131600000000000000} chuig na téarmaí is ísle trí 400000000000000 a bhaint agus a chealú.

$$6.67+\frac{49725}{55160329}$$

Suimigh 6.67 agus \frac{49725}{55160329} chun \frac{36796911943}{5516032900} a fháil.

$$\frac{36796911943}{5516032900}$$

Fachtóirigh

$$\frac{11 \cdot 601 \cdot 5566013}{2 ^ {2} \cdot 5 ^ {2} \cdot 7 ^ {2} \cdot 1061 ^ {2}} = 6\frac{3700714543}{5516032900} = 6.670901463078656$$