Leysa 9*10^9left(1.610^-19right)^2/6.6710^-119.1{10^-311.66{10}^-27}

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

Meta

$$\frac{11520000000000000000000000000000000000000000000}{5037851}\approx 2.286689305 \cdot 10^{39}$$

Lausnarskref

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

$$\frac{9\times 10^{9}\times \left(1.6\times 10^{-19}\right)^{2}}{6.67\times 10^{-42}\times 9.1\times 1.66\times 10^{-27}}$$

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

$$\frac{9\times 10^{9}\times \left(1.6\times 10^{-19}\right)^{2}}{6.67\times 10^{-69}\times 9.1\times 1.66}$$

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

$$\frac{9\times 10^{78}\times \left(1.6\times 10^{-19}\right)^{2}}{1.66\times 6.67\times 9.1}$$

Reiknaðu 10 í 78. veldi og fáðu 1000000000000000000000000000000000000000000000000000000000000000000000000000000.

$$\frac{9\times 1000000000000000000000000000000000000000000000000000000000000000000000000000000\times \left(1.6\times 10^{-19}\right)^{2}}{1.66\times 6.67\times 9.1}$$

Margfaldaðu 9 og 1000000000000000000000000000000000000000000000000000000000000000000000000000000 til að fá út 9000000000000000000000000000000000000000000000000000000000000000000000000000000.

$$\frac{9000000000000000000000000000000000000000000000000000000000000000000000000000000\times \left(1.6\times 10^{-19}\right)^{2}}{1.66\times 6.67\times 9.1}$$

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

$$\frac{9000000000000000000000000000000000000000000000000000000000000000000000000000000\times \left(1.6\times \frac{1}{10000000000000000000}\right)^{2}}{1.66\times 6.67\times 9.1}$$

Margfaldaðu 1.6 og \frac{1}{10000000000000000000} til að fá út \frac{1}{6250000000000000000}.

$$\frac{9000000000000000000000000000000000000000000000000000000000000000000000000000000\times \left(\frac{1}{6250000000000000000}\right)^{2}}{1.66\times 6.67\times 9.1}$$

Reiknaðu \frac{1}{6250000000000000000} í 2. veldi og fáðu \frac{1}{39062500000000000000000000000000000000}.

$$\frac{9000000000000000000000000000000000000000000000000000000000000000000000000000000\times \frac{1}{39062500000000000000000000000000000000}}{1.66\times 6.67\times 9.1}$$

Margfaldaðu 9000000000000000000000000000000000000000000000000000000000000000000000000000000 og \frac{1}{39062500000000000000000000000000000000} til að fá út 230400000000000000000000000000000000000000.

$$\frac{230400000000000000000000000000000000000000}{1.66\times 6.67\times 9.1}$$

Margfaldaðu 1.66 og 6.67 til að fá út 11.0722.

$$\frac{230400000000000000000000000000000000000000}{11.0722\times 9.1}$$

Margfaldaðu 11.0722 og 9.1 til að fá út 100.75702.

$$\frac{230400000000000000000000000000000000000000}{100.75702}$$

Leystu upp \frac{230400000000000000000000000000000000000000}{100.75702} með því að margfalda bæði teljara og nefnara með 100000.

$$\frac{23040000000000000000000000000000000000000000000}{10075702}$$

Minnka brotið \frac{23040000000000000000000000000000000000000000000}{10075702} eins mikið og hægt er með því að draga og stytta út 2.

$$\frac{11520000000000000000000000000000000000000000000}{5037851}$$

Stuðull

$$\frac{2 ^ {50} \cdot 3 ^ {2} \cdot 5 ^ {43}}{7 \cdot 13 \cdot 23 \cdot 29 \cdot 83} = 2.2866893046261194 \times 10^{39}\frac{3795180}{5037851} = 2.2866893046261194 \times 10^{39}$$