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

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

Avaliar

$$\frac{73583888831}{110320658}\approx 667,000090146$$

Passos Para a Resolução

Para multiplicar as potências da mesma base, some os seus expoentes. Some -11 e 30 para obter 19.

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

Calcule 10 elevado a 19 e obtenha 10000000000000000000.

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

Multiplique 10000000000000000000 e 1989 para obter 19890000000000000000000.

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

Calcule 10 elevado a 9 e obtenha 1000000000.

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

Multiplique 14854 e 1000000000 para obter 14854000000000.

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

Calcule 14854000000000 elevado a 2 e obtenha 220641316000000000000000000.

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

Reduza a fração \frac{19890000000000000000000}{220641316000000000000000000} para os termos mais baixos ao retirar e anular 2000000000000000000.

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

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

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

Fatorizar

$$\frac{1237 \cdot 59485763}{2 \cdot 7 ^ {2} \cdot 1061 ^ {2}} = 667\frac{9945}{110320658} = 667,0000901463079$$