Resolver 899*10^9(6*10^-9(-3*10^-9)/(4)^2)

$$899 \times 10 ^ { 9 } ( \frac { 6 \times 10 ^ { - 9 } ( - 3 \times 10 ^ { - 9 } ) } { ( 4 ) ^ { 2 } } )$$

Avaliar

$$-\frac{8091}{8000000000}=-0,000001011$$

Passos Para a Resolução

Para multiplicar as potências da mesma base, some os seus expoentes. Some -9 e -9 para obter -18.

$$899\times 10^{9}\times \frac{6\times 10^{-18}\left(-3\right)}{4^{2}}$$

Calcule 10 elevado a 9 e obtenha 1000000000.

$$899\times 1000000000\times \frac{6\times 10^{-18}\left(-3\right)}{4^{2}}$$

Multiplique 899 e 1000000000 para obter 899000000000.

$$899000000000\times \frac{6\times 10^{-18}\left(-3\right)}{4^{2}}$$

Calcule 10 elevado a -18 e obtenha \frac{1}{1000000000000000000}.

$$899000000000\times \frac{6\times \frac{1}{1000000000000000000}\left(-3\right)}{4^{2}}$$

Multiplique 6 e \frac{1}{1000000000000000000} para obter \frac{3}{500000000000000000}.

$$899000000000\times \frac{\frac{3}{500000000000000000}\left(-3\right)}{4^{2}}$$

Multiplique \frac{3}{500000000000000000} e -3 para obter -\frac{9}{500000000000000000}.

$$899000000000\times \frac{-\frac{9}{500000000000000000}}{4^{2}}$$

Calcule 4 elevado a 2 e obtenha 16.

$$899000000000\times \frac{-\frac{9}{500000000000000000}}{16}$$

Expresse \frac{-\frac{9}{500000000000000000}}{16} como uma fração única.

$$899000000000\times \frac{-9}{500000000000000000\times 16}$$

Multiplique 500000000000000000 e 16 para obter 8000000000000000000.

$$899000000000\times \frac{-9}{8000000000000000000}$$

A fração \frac{-9}{8000000000000000000} pode ser reescrita como -\frac{9}{8000000000000000000} ao remover o sinal negativo.

$$899000000000\left(-\frac{9}{8000000000000000000}\right)$$

Multiplique 899000000000 e -\frac{9}{8000000000000000000} para obter -\frac{8091}{8000000000}.

$$-\frac{8091}{8000000000}$$

Fatorizar

$$-\frac{8091}{8000000000} = -1,011375 \times 10^{-6}$$