Resolver 4*314*314*196*10^1/667*10^-11*14*3600

$$\frac { 4 \times 314 \times 314 \times 196 \times 10 ^ { 1 } } { 667 \times 10 ^ { - 11 } \times 14 \times 3600 }$$

Avaliar

$$\frac{13803440000000000}{6003}\approx 2,299423622 \cdot 10^{12}$$

Passos Para a Resolução

Anule 2\times 2\times 2\times 2\times 2\times 5\times 7 no numerador e no denominador.

$$\frac{2\times 14\times 157\times 157}{45\times 667\times 10^{-11}}$$

Multiplique 2 e 14 para obter 28.

$$\frac{28\times 157\times 157}{45\times 667\times 10^{-11}}$$

Multiplique 28 e 157 para obter 4396.

$$\frac{4396\times 157}{45\times 667\times 10^{-11}}$$

Multiplique 4396 e 157 para obter 690172.

$$\frac{690172}{45\times 667\times 10^{-11}}$$

Multiplique 45 e 667 para obter 30015.

$$\frac{690172}{30015\times 10^{-11}}$$

Calcule 10 elevado a -11 e obtenha \frac{1}{100000000000}.

$$\frac{690172}{30015\times \frac{1}{100000000000}}$$

Multiplique 30015 e \frac{1}{100000000000} para obter \frac{6003}{20000000000}.

$$\frac{690172}{\frac{6003}{20000000000}}$$

Divida 690172 por \frac{6003}{20000000000} ao multiplicar 690172 pelo recíproco de \frac{6003}{20000000000}.

$$690172\times \frac{20000000000}{6003}$$

Multiplique 690172 e \frac{20000000000}{6003} para obter \frac{13803440000000000}{6003}.

$$\frac{13803440000000000}{6003}$$

Fatorizar

$$\frac{2 ^ {13} \cdot 5 ^ {10} \cdot 7 \cdot 157 ^ {2}}{3 ^ {2} \cdot 23 \cdot 29} = 2299423621522\frac{3434}{6003} = 2299423621522,5723$$