Resolver 9*10^9((-5*10^-6)(-4*10^-6)/0.2^2)

$$9 \times { 10 }^{ 9 } ( \frac{ (-5 \times { 10 }^{ -6 } )(-4 \times { 10 }^{ -6 } ) }{ { 0.2 }^{ 2 } } )$$

Calcular

$$4.5$$

Pasos da solución

Para multiplicar potencias da mesma base, suma os seus expoñentes. Suma -6 e -6 para obter -12.

$$9\times 10^{9}\times \frac{-5\times 10^{-12}\left(-4\right)}{0.2^{2}}$$

Calcula 10 á potencia de 9 e obtén 1000000000.

$$9\times 1000000000\times \frac{-5\times 10^{-12}\left(-4\right)}{0.2^{2}}$$

Multiplica 9 e 1000000000 para obter 9000000000.

$$9000000000\times \frac{-5\times 10^{-12}\left(-4\right)}{0.2^{2}}$$

Calcula 10 á potencia de -12 e obtén \frac{1}{1000000000000}.

$$9000000000\times \frac{-5\times \frac{1}{1000000000000}\left(-4\right)}{0.2^{2}}$$

Multiplica -5 e \frac{1}{1000000000000} para obter -\frac{1}{200000000000}.

$$9000000000\times \frac{-\frac{1}{200000000000}\left(-4\right)}{0.2^{2}}$$

Multiplica -\frac{1}{200000000000} e -4 para obter \frac{1}{50000000000}.

$$9000000000\times \frac{\frac{1}{50000000000}}{0.2^{2}}$$

Calcula 0.2 á potencia de 2 e obtén 0.04.

$$9000000000\times \frac{\frac{1}{50000000000}}{0.04}$$

Expresa \frac{\frac{1}{50000000000}}{0.04} como unha única fracción.

$$9000000000\times \frac{1}{50000000000\times 0.04}$$

Multiplica 50000000000 e 0.04 para obter 2000000000.

$$9000000000\times \frac{1}{2000000000}$$

Multiplica 9000000000 e \frac{1}{2000000000} para obter \frac{9}{2}.

$$\frac{9}{2}$$

Factorizar

$$\frac{3 ^ {2}}{2} = 4\frac{1}{2} = 4.5$$