Resolver 3*10^8/6.63*10^-34

$$\frac { 3 \times 10 ^ { 8 } } { 6.63 \times 10 ^ { - 34 } }$$

Calcular

$$\frac{100000000000000000000000000000000000000000000}{221}\approx 4.524886878 \cdot 10^{41}$$

Pasos da solución

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

$$\frac{3\times 10^{42}}{6.63}$$

Calcula 10 á potencia de 42 e obtén 1000000000000000000000000000000000000000000.

$$\frac{3\times 1000000000000000000000000000000000000000000}{6.63}$$

Multiplica 3 e 1000000000000000000000000000000000000000000 para obter 3000000000000000000000000000000000000000000.

$$\frac{3000000000000000000000000000000000000000000}{6.63}$$

Expande \frac{3000000000000000000000000000000000000000000}{6.63} multiplicando o numerador e o denominador por 100.

$$\frac{300000000000000000000000000000000000000000000}{663}$$

Reduce a fracción \frac{300000000000000000000000000000000000000000000}{663} a termos máis baixos extraendo e cancelando 3.

$$\frac{100000000000000000000000000000000000000000000}{221}$$

Factorizar

$$\frac{2 ^ {44} \cdot 5 ^ {44}}{13 \cdot 17} = 4.524886877828054 \times 10^{41}\frac{174}{221} = 4.524886877828054 \times 10^{41}$$