Resolver 667*10^-11*2000*100/(50)^2

$$667 \times 10 ^ { - 11 } \times \frac { 2000 \times 100 } { ( 50 ) ^ { 2 } }$$

Avaliar

$$\frac{667}{1250000000}\approx 0,000000534$$

Passos Para a Resolução

Calcule 10 elevado a -11 e obtenha \frac{1}{100000000000}.

$$667\times \frac{1}{100000000000}\times \frac{2000\times 100}{50^{2}}$$

Multiplique 667 e \frac{1}{100000000000} para obter \frac{667}{100000000000}.

$$\frac{667}{100000000000}\times \frac{2000\times 100}{50^{2}}$$

Multiplique 2000 e 100 para obter 200000.

$$\frac{667}{100000000000}\times \frac{200000}{50^{2}}$$

Calcule 50 elevado a 2 e obtenha 2500.

$$\frac{667}{100000000000}\times \frac{200000}{2500}$$

Dividir 200000 por 2500 para obter 80.

$$\frac{667}{100000000000}\times 80$$

Multiplique \frac{667}{100000000000} e 80 para obter \frac{667}{1250000000}.

$$\frac{667}{1250000000}$$

Fatorizar

$$\frac{23 \cdot 29}{2 ^ {7} \cdot 5 ^ {10}} = 5,335999999999999 \times 10^{-7}$$