Resolver 663*10^-34*3*10^8/300*10^-9

$$663 \times { 10 }^{ -34 } \times 3 \times \frac{ { 10 }^{ 8 } }{ 300 \times { 10 }^{ -9 } }$$

Avaliar

$$\frac{663}{10000000000000000000}=6,63 \cdot 10^{-17}$$

Passos Para a Resolução

Calcule 10 elevado a -34 e obtenha \frac{1}{10000000000000000000000000000000000}.

$$663\times \frac{1}{10000000000000000000000000000000000}\times 3\times \frac{10^{8}}{300\times 10^{-9}}$$

Multiplique 663 e \frac{1}{10000000000000000000000000000000000} para obter \frac{663}{10000000000000000000000000000000000}.

$$\frac{663}{10000000000000000000000000000000000}\times 3\times \frac{10^{8}}{300\times 10^{-9}}$$

Multiplique \frac{663}{10000000000000000000000000000000000} e 3 para obter \frac{1989}{10000000000000000000000000000000000}.

$$\frac{1989}{10000000000000000000000000000000000}\times \frac{10^{8}}{300\times 10^{-9}}$$

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

$$\frac{1989}{10000000000000000000000000000000000}\times \frac{10^{17}}{300}$$

Calcule 10 elevado a 17 e obtenha 100000000000000000.

$$\frac{1989}{10000000000000000000000000000000000}\times \frac{100000000000000000}{300}$$

Reduza a fração \frac{100000000000000000}{300} para os termos mais baixos ao retirar e anular 100.

$$\frac{1989}{10000000000000000000000000000000000}\times \frac{1000000000000000}{3}$$

Multiplique \frac{1989}{10000000000000000000000000000000000} e \frac{1000000000000000}{3} para obter \frac{663}{10000000000000000000}.

$$\frac{663}{10000000000000000000}$$

Fatorizar

$$\frac{3 \cdot 13 \cdot 17}{2 ^ {19} \cdot 5 ^ {19}} = 6,63 \times 10^{-17}$$