Resolver (16100)^2(3.9*10^10)/6.67*10^-11

$$\frac { ( 16100 ) ^ { 2 } ( 3.9 \times 10 ^ { 10 } ) } { 6.67 \times 10 ^ { - 11 } }$$

Avaliar

$$\frac{4395300000000000000000000000000}{29}\approx 1.51562069 \cdot 10^{29}$$

Passos Para a Resolução

Para dividir as potências da mesma base, subtraia o exponente do denominador do exponente do numerador.

$$\frac{3.9\times 10^{21}\times 16100^{2}}{6.67}$$

Calcule 10 elevado a 21 e obtenha 1000000000000000000000.

$$\frac{3.9\times 1000000000000000000000\times 16100^{2}}{6.67}$$

Multiplique 3.9 e 1000000000000000000000 para obter 3900000000000000000000.

$$\frac{3900000000000000000000\times 16100^{2}}{6.67}$$

Calcule 16100 elevado a 2 e obtenha 259210000.

$$\frac{3900000000000000000000\times 259210000}{6.67}$$

Multiplique 3900000000000000000000 e 259210000 para obter 1010919000000000000000000000000.

$$\frac{1010919000000000000000000000000}{6.67}$$

Expanda \frac{1010919000000000000000000000000}{6.67} ao multiplicar o numerador e o denominador por 100.

$$\frac{101091900000000000000000000000000}{667}$$

Reduza a fração \frac{101091900000000000000000000000000}{667} para os termos mais baixos ao retirar e anular 23.

$$\frac{4395300000000000000000000000000}{29}$$

Fatorizar

$$\frac{3 \cdot 13 \cdot 23 \cdot 2 ^ {26} \cdot 5 ^ {26} \cdot 7 ^ {2}}{29} = 1.5156206896551725 \times 10^{29}$$