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

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

Calcular

$$-\frac{8091}{8000000000}=-0.000001011$$

Pasos da solución

Para multiplicar potencias da mesma base, suma os seus expoñentes. Suma -9 e -9 para obter -18.

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

Calcula 10 á potencia de 9 e obtén 1000000000.

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

Multiplica 899 e 1000000000 para obter 899000000000.

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

Calcula 10 á potencia de -18 e obtén \frac{1}{1000000000000000000}.

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

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

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

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

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

Calcula 4 á potencia de 2 e obtén 16.

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

Expresa \frac{-\frac{9}{500000000000000000}}{16} como unha única fracción.

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

Multiplica 500000000000000000 e 16 para obter 8000000000000000000.

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

A fracción \frac{-9}{8000000000000000000} pode volver escribirse como -\frac{9}{8000000000000000000} extraendo o signo negativo.

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

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

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

Factorizar

$$-\frac{8091}{8000000000} = -1.011375 \times 10^{-6}$$