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

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

Calcular

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

Pasos de la solución

Para multiplicar potencias de la misma base, sume sus exponentes. Sume -34 y 8 para obtener -26.

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

Calcula 10 a la potencia de -26 y obtiene \frac{1}{100000000000000000000000000}.

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

Multiplica 663 y \frac{1}{100000000000000000000000000} para obtener \frac{663}{100000000000000000000000000}.

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

Multiplica \frac{663}{100000000000000000000000000} y 3 para obtener \frac{1989}{100000000000000000000000000}.

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

Calcula 16 a la potencia de -19 y obtiene \frac{1}{75557863725914323419136}.

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

Multiplica 515 y \frac{1}{75557863725914323419136} para obtener \frac{515}{75557863725914323419136}.

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

Divide \frac{1989}{100000000000000000000000000} por \frac{515}{75557863725914323419136} al multiplicar \frac{1989}{100000000000000000000000000} por el recíproco de \frac{515}{75557863725914323419136}.

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

Multiplica \frac{1989}{100000000000000000000000000} y \frac{75557863725914323419136}{515} para obtener \frac{2239414914709979136}{767409801483154296875}.

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

Factorizar

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