Resolver 1100^27.410^9/6.67*10^-11

$$\frac{ { 1100 }^{ 2 } 7.4 { 10 }^{ 9 } }{ 6.67 \times { 10 }^{ -11 } }$$

Calcular

$$\frac{89540000000000000000000000000}{667}\approx 1.342428786 \cdot 10^{26}$$

Pasos da solución

Para dividir potencias da mesma base, resta o expoñente do denominador do expoñente do numerador.

$$\frac{7.4\times 10^{20}\times 1100^{2}}{6.67}$$

Calcula 10 á potencia de 20 e obtén 100000000000000000000.

$$\frac{7.4\times 100000000000000000000\times 1100^{2}}{6.67}$$

Multiplica 7.4 e 100000000000000000000 para obter 740000000000000000000.

$$\frac{740000000000000000000\times 1100^{2}}{6.67}$$

Calcula 1100 á potencia de 2 e obtén 1210000.

$$\frac{740000000000000000000\times 1210000}{6.67}$$

Multiplica 740000000000000000000 e 1210000 para obter 895400000000000000000000000.

$$\frac{895400000000000000000000000}{6.67}$$

Expande \frac{895400000000000000000000000}{6.67} multiplicando o numerador e o denominador por 100.

$$\frac{89540000000000000000000000000}{667}$$

Factorizar

$$\frac{37 \cdot 2 ^ {26} \cdot 5 ^ {25} \cdot 11 ^ {2}}{23 \cdot 29} = 1.3424287856071964 \times 10^{26}\frac{13}{667} = 1.3424287856071964 \times 10^{26}$$