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

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

Avaliar

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

Passos Para a Resolução

Para multiplicar as potências da mesma base, some os seus expoentes. Some -34 e 8 para obter -26.

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

Calcule 10 elevado a -26 e obtenha \frac{1}{100000000000000000000000000}.

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

Multiplique 663 e \frac{1}{100000000000000000000000000} para obter \frac{663}{100000000000000000000000000}.

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

Multiplique \frac{663}{100000000000000000000000000} e 3 para obter \frac{1989}{100000000000000000000000000}.

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

Calcule 16 elevado a -19 e obtenha \frac{1}{75557863725914323419136}.

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

Multiplique 515 e \frac{1}{75557863725914323419136} para obter \frac{515}{75557863725914323419136}.

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

Divida \frac{1989}{100000000000000000000000000} por \frac{515}{75557863725914323419136} ao multiplicar \frac{1989}{100000000000000000000000000} pelo recíproco de \frac{515}{75557863725914323419136}.

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

Multiplique \frac{1989}{100000000000000000000000000} e \frac{75557863725914323419136}{515} para obter \frac{2239414914709979136}{767409801483154296875}.

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

Fatorizar

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