Resolver 667+10^-11*1989*10^30/(14854*10^9)^2

$$667 + 10 ^ { - 11 } \cdot 1989 * 10 ^ { 30 } / ( 14854 * 10 ^ { 9 } ) ^ { 2 }$$

Calcular

$$\frac{73583888831}{110320658}\approx 667.000090146$$

Pasos da solución

Para multiplicar potencias da mesma base, suma os seus expoñentes. Suma -11 e 30 para obter 19.

$$667+\frac{10^{19}\times 1989}{\left(14854\times 10^{9}\right)^{2}}$$

Calcula 10 á potencia de 19 e obtén 10000000000000000000.

$$667+\frac{10000000000000000000\times 1989}{\left(14854\times 10^{9}\right)^{2}}$$

Multiplica 10000000000000000000 e 1989 para obter 19890000000000000000000.

$$667+\frac{19890000000000000000000}{\left(14854\times 10^{9}\right)^{2}}$$

Calcula 10 á potencia de 9 e obtén 1000000000.

$$667+\frac{19890000000000000000000}{\left(14854\times 1000000000\right)^{2}}$$

Multiplica 14854 e 1000000000 para obter 14854000000000.

$$667+\frac{19890000000000000000000}{14854000000000^{2}}$$

Calcula 14854000000000 á potencia de 2 e obtén 220641316000000000000000000.

$$667+\frac{19890000000000000000000}{220641316000000000000000000}$$

Reduce a fracción \frac{19890000000000000000000}{220641316000000000000000000} a termos máis baixos extraendo e cancelando 2000000000000000000.

$$667+\frac{9945}{110320658}$$

Suma 667 e \frac{9945}{110320658} para obter \frac{73583888831}{110320658}.

$$\frac{73583888831}{110320658}$$

Factorizar

$$\frac{1237 \cdot 59485763}{2 \cdot 7 ^ {2} \cdot 1061 ^ {2}} = 667\frac{9945}{110320658} = 667.0000901463079$$