Issolvi frac{9*10^{9}*(16*10^{-19})^2}{667*10^11*91*10^-31*166*10^-27}

$$\frac { 9 \times 10 ^ { 9 } \times ( 16 \times 10 ^ { - 19 } ) ^ { 2 } } { 667 \times 10 ^ { 11 } \times 91 \times 10 ^ { - 31 } \times 166 \times 10 ^ { - 27 } }$$

Evalwa

$$\frac{1152000000000000000000}{5037851}\approx 2.286689305 \cdot 10^{14}$$

Passi tas-Soluzzjonijiet

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

$$\frac{9\times 10^{9}\times \left(16\times 10^{-19}\right)^{2}}{667\times 10^{-20}\times 91\times 166\times 10^{-27}}$$

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

$$\frac{9\times 10^{9}\times \left(16\times 10^{-19}\right)^{2}}{667\times 10^{-47}\times 91\times 166}$$

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

$$\frac{9\times 10^{56}\times \left(16\times 10^{-19}\right)^{2}}{91\times 166\times 667}$$

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

$$\frac{9\times 100000000000000000000000000000000000000000000000000000000\times \left(16\times 10^{-19}\right)^{2}}{91\times 166\times 667}$$

Immultiplika 9 u 100000000000000000000000000000000000000000000000000000000 biex tikseb 900000000000000000000000000000000000000000000000000000000.

$$\frac{900000000000000000000000000000000000000000000000000000000\times \left(16\times 10^{-19}\right)^{2}}{91\times 166\times 667}$$

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

$$\frac{900000000000000000000000000000000000000000000000000000000\times \left(16\times \frac{1}{10000000000000000000}\right)^{2}}{91\times 166\times 667}$$

Immultiplika 16 u \frac{1}{10000000000000000000} biex tikseb \frac{1}{625000000000000000}.

$$\frac{900000000000000000000000000000000000000000000000000000000\times \left(\frac{1}{625000000000000000}\right)^{2}}{91\times 166\times 667}$$

Ikkalkula \frac{1}{625000000000000000} bil-power ta' 2 u tikseb \frac{1}{390625000000000000000000000000000000}.

$$\frac{900000000000000000000000000000000000000000000000000000000\times \frac{1}{390625000000000000000000000000000000}}{91\times 166\times 667}$$

Immultiplika 900000000000000000000000000000000000000000000000000000000 u \frac{1}{390625000000000000000000000000000000} biex tikseb 2304000000000000000000.

$$\frac{2304000000000000000000}{91\times 166\times 667}$$

Immultiplika 91 u 166 biex tikseb 15106.

$$\frac{2304000000000000000000}{15106\times 667}$$

Immultiplika 15106 u 667 biex tikseb 10075702.

$$\frac{2304000000000000000000}{10075702}$$

Naqqas il-frazzjoni \frac{2304000000000000000000}{10075702} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$\frac{1152000000000000000000}{5037851}$$

Fattur

$$\frac{2 ^ {25} \cdot 3 ^ {2} \cdot 5 ^ {18}}{7 \cdot 13 \cdot 23 \cdot 29 \cdot 83} = 228668930462611\frac{4711039}{5037851} = 228668930462611.94$$