Resol 663*10^-34*3*10^8/515*16^-19

$$\frac{ 663 \times { 10 }^{ -34 } \times 3 \times { 10 }^{ 8 } }{ 515 \times { 16 }^{ -19 } }$$

Calcula

$$\frac{2239414914709979136}{767409801483154296875}\approx 0,002918147$$

Passos de solució

Per multiplicar potències de la mateixa base, afegiu-ne els exponents. Afegiu -34 i 8 per obtenir -26.

$$\frac{663\times 10^{-26}\times 3}{515\times 16^{-19}}$$

Calculeu 10 elevat a -26 per obtenir \frac{1}{100000000000000000000000000}.

$$\frac{663\times \frac{1}{100000000000000000000000000}\times 3}{515\times 16^{-19}}$$

Multipliqueu 663 per \frac{1}{100000000000000000000000000} per obtenir \frac{663}{100000000000000000000000000}.

$$\frac{\frac{663}{100000000000000000000000000}\times 3}{515\times 16^{-19}}$$

Multipliqueu \frac{663}{100000000000000000000000000} per 3 per obtenir \frac{1989}{100000000000000000000000000}.

$$\frac{\frac{1989}{100000000000000000000000000}}{515\times 16^{-19}}$$

Calculeu 16 elevat a -19 per obtenir \frac{1}{75557863725914323419136}.

$$\frac{\frac{1989}{100000000000000000000000000}}{515\times \frac{1}{75557863725914323419136}}$$

Multipliqueu 515 per \frac{1}{75557863725914323419136} per obtenir \frac{515}{75557863725914323419136}.

$$\frac{\frac{1989}{100000000000000000000000000}}{\frac{515}{75557863725914323419136}}$$

Dividiu \frac{1989}{100000000000000000000000000} per \frac{515}{75557863725914323419136} multiplicant \frac{1989}{100000000000000000000000000} pel recíproc de \frac{515}{75557863725914323419136}.

$$\frac{1989}{100000000000000000000000000}\times \frac{75557863725914323419136}{515}$$

Multipliqueu \frac{1989}{100000000000000000000000000} per \frac{75557863725914323419136}{515} per obtenir \frac{2239414914709979136}{767409801483154296875}.

$$\frac{2239414914709979136}{767409801483154296875}$$

Factoritzar

$$\frac{2 ^ {50} \cdot 3 ^ {2} \cdot 13 \cdot 17}{5 ^ {27} \cdot 103} = 0,0029181473971037586$$