Resolver 3*10^8/6,63*10^-34

$$\frac { 3 \times 10 ^ { 8 } } { 6,63 \times 10 ^ { - 34 } }$$

Avaliar

$$\frac{100000000000000000000000000000000000000000000}{221}\approx 4,524886878 \cdot 10^{41}$$

Passos Para a Resolução

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

$$\frac{3\times 10^{42}}{6,63}$$

Calcule 10 elevado a 42 e obtenha 1000000000000000000000000000000000000000000.

$$\frac{3\times 1000000000000000000000000000000000000000000}{6,63}$$

Multiplique 3 e 1000000000000000000000000000000000000000000 para obter 3000000000000000000000000000000000000000000.

$$\frac{3000000000000000000000000000000000000000000}{6,63}$$

Expanda \frac{3000000000000000000000000000000000000000000}{6,63} ao multiplicar o numerador e o denominador por 100.

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

Reduza a fração \frac{300000000000000000000000000000000000000000000}{663} para os termos mais baixos ao retirar e anular 3.

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

Fatorizar

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