Issolvi frac{9*10^{9}*(1.6*10^{-19})^2}{6.67*10^11*9.1*10^-31*1.66*10^-27}

$$\frac { 9 \times 10 ^ { 9 } \times ( 1.6 \times 10 ^ { - 19 } ) ^ { 2 } } { 6.67 \times 10 ^ { 11 } \times 9.1 \times 10 ^ { - 31 } \times 1.66 \times 10 ^ { - 27 } }$$

Evalwa

$$\frac{1152000000000000000000000}{5037851}\approx 2.286689305 \cdot 10^{17}$$

Passi tas-Soluzzjonijiet

Biex timmultiplika l-qawwa tal-istess bażi, żid l-esponenti tagħhom. Żid 11 u -31 biex tikseb -20.

$$\frac{9\times 10^{9}\times \left(1.6\times 10^{-19}\right)^{2}}{6.67\times 10^{-20}\times 9.1\times 1.66\times 10^{-27}}$$

Biex timmultiplika l-qawwa tal-istess bażi, żid l-esponenti tagħhom. Żid -20 u -27 biex tikseb -47.

$$\frac{9\times 10^{9}\times \left(1.6\times 10^{-19}\right)^{2}}{6.67\times 10^{-47}\times 9.1\times 1.66}$$

Biex tiddividi l-qawwa tal-istess bażi, naqqas l-esponent tad-denominatur mill-esponent tan-numeratur.

$$\frac{9\times 10^{56}\times \left(1.6\times 10^{-19}\right)^{2}}{1.66\times 6.67\times 9.1}$$

Ikkalkula 10 bil-power ta' 56 u tikseb 100000000000000000000000000000000000000000000000000000000.

$$\frac{9\times 100000000000000000000000000000000000000000000000000000000\times \left(1.6\times 10^{-19}\right)^{2}}{1.66\times 6.67\times 9.1}$$

Immultiplika 9 u 100000000000000000000000000000000000000000000000000000000 biex tikseb 900000000000000000000000000000000000000000000000000000000.

$$\frac{900000000000000000000000000000000000000000000000000000000\times \left(1.6\times 10^{-19}\right)^{2}}{1.66\times 6.67\times 9.1}$$

Ikkalkula 10 bil-power ta' -19 u tikseb \frac{1}{10000000000000000000}.

$$\frac{900000000000000000000000000000000000000000000000000000000\times \left(1.6\times \frac{1}{10000000000000000000}\right)^{2}}{1.66\times 6.67\times 9.1}$$

Immultiplika 1.6 u \frac{1}{10000000000000000000} biex tikseb \frac{1}{6250000000000000000}.

$$\frac{900000000000000000000000000000000000000000000000000000000\times \left(\frac{1}{6250000000000000000}\right)^{2}}{1.66\times 6.67\times 9.1}$$

Ikkalkula \frac{1}{6250000000000000000} bil-power ta' 2 u tikseb \frac{1}{39062500000000000000000000000000000000}.

$$\frac{900000000000000000000000000000000000000000000000000000000\times \frac{1}{39062500000000000000000000000000000000}}{1.66\times 6.67\times 9.1}$$

Immultiplika 900000000000000000000000000000000000000000000000000000000 u \frac{1}{39062500000000000000000000000000000000} biex tikseb 23040000000000000000.

$$\frac{23040000000000000000}{1.66\times 6.67\times 9.1}$$

Immultiplika 1.66 u 6.67 biex tikseb 11.0722.

$$\frac{23040000000000000000}{11.0722\times 9.1}$$

Immultiplika 11.0722 u 9.1 biex tikseb 100.75702.

$$\frac{23040000000000000000}{100.75702}$$

Espandi \frac{23040000000000000000}{100.75702} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'100000.

$$\frac{2304000000000000000000000}{10075702}$$

Naqqas il-frazzjoni \frac{2304000000000000000000000}{10075702} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$\frac{1152000000000000000000000}{5037851}$$

Fattur

$$\frac{2 ^ {28} \cdot 3 ^ {2} \cdot 5 ^ {21}}{7 \cdot 13 \cdot 23 \cdot 29 \cdot 83} = 2.2866893046261194 \times 10^{17}\frac{648315}{5037851} = 2.2866893046261194 \times 10^{17}$$