Resolver =frac{67*10^{-11}Nm^{2}kg^{-2}*6*10^24kg*74*10^22kg}{(384*10^8m)^2}

$$= \frac { 67 \times 10 ^ { - 11 } Nm ^ { 2 } kg ^ { - 2 } \times 6 \times 10 ^ { 24 } kg \times 74 \times 10 ^ { 22 } kg } { ( 384 \times 10 ^ { 8 } m ) ^ { 2 } }$$

Avaliar

$$\frac{6052246093750000000Nk^{3}}{3}$$

Passos Para a Resolução

Para multiplicar as potências da mesma base, some os seus expoentes. Some -11 e 24 para obter 13.

$$\frac{67\times 10^{13}Nm^{2}kg^{-2}\times 6kg\times 74\times 10^{22}kg}{\left(384\times 10^{8}m\right)^{2}}$$

Para multiplicar as potências da mesma base, some os seus expoentes. Some 13 e 22 para obter 35.

$$\frac{67\times 10^{35}Nm^{2}kg^{-2}\times 6kg\times 74kg}{\left(384\times 10^{8}m\right)^{2}}$$

Multiplique k e k para obter k^{2}.

$$\frac{67\times 10^{35}Nm^{2}k^{2}g^{-2}\times 6g\times 74kg}{\left(384\times 10^{8}m\right)^{2}}$$

Para multiplicar as potências da mesma base, some os seus expoentes. Some 2 e 1 para obter 3.

$$\frac{67\times 10^{35}Nm^{2}k^{3}g^{-2}\times 6g\times 74g}{\left(384\times 10^{8}m\right)^{2}}$$

Para multiplicar as potências da mesma base, some os seus expoentes. Some -2 e 1 para obter -1.

$$\frac{67\times 10^{35}Nm^{2}k^{3}g^{-1}\times 6\times 74g}{\left(384\times 10^{8}m\right)^{2}}$$

Multiplique g^{-1} e g para obter 1.

$$\frac{67\times 10^{35}Nm^{2}k^{3}\times 6\times 74}{\left(384\times 10^{8}m\right)^{2}}$$

Calcule 10 elevado a 35 e obtenha 100000000000000000000000000000000000.

$$\frac{67\times 100000000000000000000000000000000000Nm^{2}k^{3}\times 6\times 74}{\left(384\times 10^{8}m\right)^{2}}$$

Multiplique 67 e 100000000000000000000000000000000000 para obter 6700000000000000000000000000000000000.

$$\frac{6700000000000000000000000000000000000Nm^{2}k^{3}\times 6\times 74}{\left(384\times 10^{8}m\right)^{2}}$$

Multiplique 6700000000000000000000000000000000000 e 6 para obter 40200000000000000000000000000000000000.

$$\frac{40200000000000000000000000000000000000Nm^{2}k^{3}\times 74}{\left(384\times 10^{8}m\right)^{2}}$$

Multiplique 40200000000000000000000000000000000000 e 74 para obter 2974800000000000000000000000000000000000.

$$\frac{2974800000000000000000000000000000000000Nm^{2}k^{3}}{\left(384\times 10^{8}m\right)^{2}}$$

Calcule 10 elevado a 8 e obtenha 100000000.

$$\frac{2974800000000000000000000000000000000000Nm^{2}k^{3}}{\left(384\times 100000000m\right)^{2}}$$

Multiplique 384 e 100000000 para obter 38400000000.

$$\frac{2974800000000000000000000000000000000000Nm^{2}k^{3}}{\left(38400000000m\right)^{2}}$$

Expanda \left(38400000000m\right)^{2}.

$$\frac{2974800000000000000000000000000000000000Nm^{2}k^{3}}{38400000000^{2}m^{2}}$$

Calcule 38400000000 elevado a 2 e obtenha 1474560000000000000000.

$$\frac{2974800000000000000000000000000000000000Nm^{2}k^{3}}{1474560000000000000000m^{2}}$$

Anule 491520000000000000000m^{2} no numerador e no denominador.

$$\frac{6052246093750000000Nk^{3}}{3}$$

Expandir

$$\frac{6052246093750000000Nk^{3}}{3}$$

Passos Para a Resolução

Para multiplicar as potências da mesma base, some os seus expoentes. Some -11 e 24 para obter 13.

$$\frac{67\times 10^{13}Nm^{2}kg^{-2}\times 6kg\times 74\times 10^{22}kg}{\left(384\times 10^{8}m\right)^{2}}$$

Para multiplicar as potências da mesma base, some os seus expoentes. Some 13 e 22 para obter 35.

$$\frac{67\times 10^{35}Nm^{2}kg^{-2}\times 6kg\times 74kg}{\left(384\times 10^{8}m\right)^{2}}$$

Multiplique k e k para obter k^{2}.

$$\frac{67\times 10^{35}Nm^{2}k^{2}g^{-2}\times 6g\times 74kg}{\left(384\times 10^{8}m\right)^{2}}$$

Para multiplicar as potências da mesma base, some os seus expoentes. Some 2 e 1 para obter 3.

$$\frac{67\times 10^{35}Nm^{2}k^{3}g^{-2}\times 6g\times 74g}{\left(384\times 10^{8}m\right)^{2}}$$

Para multiplicar as potências da mesma base, some os seus expoentes. Some -2 e 1 para obter -1.

$$\frac{67\times 10^{35}Nm^{2}k^{3}g^{-1}\times 6\times 74g}{\left(384\times 10^{8}m\right)^{2}}$$

Multiplique g^{-1} e g para obter 1.

$$\frac{67\times 10^{35}Nm^{2}k^{3}\times 6\times 74}{\left(384\times 10^{8}m\right)^{2}}$$

Calcule 10 elevado a 35 e obtenha 100000000000000000000000000000000000.

$$\frac{67\times 100000000000000000000000000000000000Nm^{2}k^{3}\times 6\times 74}{\left(384\times 10^{8}m\right)^{2}}$$

Multiplique 67 e 100000000000000000000000000000000000 para obter 6700000000000000000000000000000000000.

$$\frac{6700000000000000000000000000000000000Nm^{2}k^{3}\times 6\times 74}{\left(384\times 10^{8}m\right)^{2}}$$

Multiplique 6700000000000000000000000000000000000 e 6 para obter 40200000000000000000000000000000000000.

$$\frac{40200000000000000000000000000000000000Nm^{2}k^{3}\times 74}{\left(384\times 10^{8}m\right)^{2}}$$

Multiplique 40200000000000000000000000000000000000 e 74 para obter 2974800000000000000000000000000000000000.

$$\frac{2974800000000000000000000000000000000000Nm^{2}k^{3}}{\left(384\times 10^{8}m\right)^{2}}$$

Calcule 10 elevado a 8 e obtenha 100000000.

$$\frac{2974800000000000000000000000000000000000Nm^{2}k^{3}}{\left(384\times 100000000m\right)^{2}}$$

Multiplique 384 e 100000000 para obter 38400000000.

$$\frac{2974800000000000000000000000000000000000Nm^{2}k^{3}}{\left(38400000000m\right)^{2}}$$

Expanda \left(38400000000m\right)^{2}.

$$\frac{2974800000000000000000000000000000000000Nm^{2}k^{3}}{38400000000^{2}m^{2}}$$

Calcule 38400000000 elevado a 2 e obtenha 1474560000000000000000.

$$\frac{2974800000000000000000000000000000000000Nm^{2}k^{3}}{1474560000000000000000m^{2}}$$

Anule 491520000000000000000m^{2} no numerador e no denominador.

$$\frac{6052246093750000000Nk^{3}}{3}$$