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

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

Meta

$$\frac{1152000000000000000000000000000000000000000}{5037851}\approx 2.286689305 \cdot 10^{35}$$

Lausnarskref

Leggðu saman veldisvísa velda með sama stofn til að margfalda þá. Leggðu saman -11 og -31 til að fá -42.

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

Leggðu saman veldisvísa velda með sama stofn til að margfalda þá. Leggðu saman -42 og -27 til að fá -69.

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

Dragðu veldisvísi nefnarans frá veldisvísi teljarans til að deila veldum með sama stofn.

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

Reiknaðu 10 í 77. veldi og fáðu 100000000000000000000000000000000000000000000000000000000000000000000000000000.

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

Margfaldaðu 9 og 100000000000000000000000000000000000000000000000000000000000000000000000000000 til að fá út 900000000000000000000000000000000000000000000000000000000000000000000000000000.

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

Reiknaðu 10 í -19. veldi og fáðu \frac{1}{10000000000000000000}.

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

Margfaldaðu 16 og \frac{1}{10000000000000000000} til að fá út \frac{1}{625000000000000000}.

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

Reiknaðu \frac{1}{625000000000000000} í 2. veldi og fáðu \frac{1}{390625000000000000000000000000000000}.

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

Margfaldaðu 900000000000000000000000000000000000000000000000000000000000000000000000000000 og \frac{1}{390625000000000000000000000000000000} til að fá út 2304000000000000000000000000000000000000000.

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

Margfaldaðu 91 og 166 til að fá út 15106.

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

Margfaldaðu 15106 og 667 til að fá út 10075702.

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

Minnka brotið \frac{2304000000000000000000000000000000000000000}{10075702} eins mikið og hægt er með því að draga og stytta út 2.

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

Stuðull

$$\frac{2 ^ {46} \cdot 3 ^ {2} \cdot 5 ^ {39}}{7 \cdot 13 \cdot 23 \cdot 29 \cdot 83} = 2.2866893046261194 \times 10^{35}\frac{336198}{5037851} = 2.2866893046261194 \times 10^{35}$$