Atrisiniet frac{9*10^{8}*(16*10^{-19})^2}{667*10^-11*91*10^-31*166*10^-27}

$$\frac { 9 \times 10 ^ { 8 } \times ( 16 \times 10 ^ { - 19 } ) ^ { 2 } } { 667 \times 10 ^ { - 11 } \times 91 \times 10 ^ { - 31 } \times 166 \times 10 ^ { - 27 } }$$

Izrēķināt

$$\frac{1152000000000000000000000000000000000000000}{5037851}\approx 2,286689305 \cdot 10^{35}$$

Atrisinājuma darbības

Lai reizinātu vienas bāzes pakāpes, saskaitiet kāpinātājus. Saskaitiet -11 un -31, lai iegūtu -42.

$$\frac{9\times 10^{8}\times \left(16\times 10^{-19}\right)^{2}}{667\times 10^{-42}\times 91\times 166\times 10^{-27}}$$

Lai reizinātu vienas bāzes pakāpes, saskaitiet kāpinātājus. Saskaitiet -42 un -27, lai iegūtu -69.

$$\frac{9\times 10^{8}\times \left(16\times 10^{-19}\right)^{2}}{667\times 10^{-69}\times 91\times 166}$$

Lai dalītu vienas bāzes pakāpes, atņemiet saucēja kāpinātāju no skaitītāja kāpinātāja.

$$\frac{9\times 10^{77}\times \left(16\times 10^{-19}\right)^{2}}{91\times 166\times 667}$$

Aprēķiniet 10 pakāpē 77 un iegūstiet 100000000000000000000000000000000000000000000000000000000000000000000000000000.

$$\frac{9\times 100000000000000000000000000000000000000000000000000000000000000000000000000000\times \left(16\times 10^{-19}\right)^{2}}{91\times 166\times 667}$$

Reiziniet 9 un 100000000000000000000000000000000000000000000000000000000000000000000000000000, lai iegūtu 900000000000000000000000000000000000000000000000000000000000000000000000000000.

$$\frac{900000000000000000000000000000000000000000000000000000000000000000000000000000\times \left(16\times 10^{-19}\right)^{2}}{91\times 166\times 667}$$

Aprēķiniet 10 pakāpē -19 un iegūstiet \frac{1}{10000000000000000000}.

$$\frac{900000000000000000000000000000000000000000000000000000000000000000000000000000\times \left(16\times \frac{1}{10000000000000000000}\right)^{2}}{91\times 166\times 667}$$

Reiziniet 16 un \frac{1}{10000000000000000000}, lai iegūtu \frac{1}{625000000000000000}.

$$\frac{900000000000000000000000000000000000000000000000000000000000000000000000000000\times \left(\frac{1}{625000000000000000}\right)^{2}}{91\times 166\times 667}$$

Aprēķiniet \frac{1}{625000000000000000} pakāpē 2 un iegūstiet \frac{1}{390625000000000000000000000000000000}.

$$\frac{900000000000000000000000000000000000000000000000000000000000000000000000000000\times \frac{1}{390625000000000000000000000000000000}}{91\times 166\times 667}$$

Reiziniet 900000000000000000000000000000000000000000000000000000000000000000000000000000 un \frac{1}{390625000000000000000000000000000000}, lai iegūtu 2304000000000000000000000000000000000000000.

$$\frac{2304000000000000000000000000000000000000000}{91\times 166\times 667}$$

Reiziniet 91 un 166, lai iegūtu 15106.

$$\frac{2304000000000000000000000000000000000000000}{15106\times 667}$$

Reiziniet 15106 un 667, lai iegūtu 10075702.

$$\frac{2304000000000000000000000000000000000000000}{10075702}$$

Vienādot daļskaitli \frac{2304000000000000000000000000000000000000000}{10075702} līdz mazākajam loceklim, izvelkot un saīsinot 2.

$$\frac{1152000000000000000000000000000000000000000}{5037851}$$

Sadalīt reizinātājos

$$\frac{2 ^ {46} \cdot 3 ^ {2} \cdot 5 ^ {39}}{7 \cdot 13 \cdot 23 \cdot 29 \cdot 83} = 2,2866893046261194 \times 10^{35}\frac{336198}{5037851} = 2,2866893046261194 \times 10^{35}$$