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

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

Calcula

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

Passos de solució

Per multiplicar potències de la mateixa base, afegiu-ne els exponents. Afegiu -9 i -9 per obtenir -18.

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

Calculeu 10 elevat a 9 per obtenir 1000000000.

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

Multipliqueu 899 per 1000000000 per obtenir 899000000000.

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

Calculeu 10 elevat a -18 per obtenir \frac{1}{1000000000000000000}.

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

Multipliqueu 6 per \frac{1}{1000000000000000000} per obtenir \frac{3}{500000000000000000}.

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

Multipliqueu \frac{3}{500000000000000000} per -3 per obtenir -\frac{9}{500000000000000000}.

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

Calculeu 4 elevat a 2 per obtenir 16.

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

Expresseu \frac{-\frac{9}{500000000000000000}}{16} com a fracció senzilla.

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

Multipliqueu 500000000000000000 per 16 per obtenir 8000000000000000000.

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

La fracció \frac{-9}{8000000000000000000} es pot reescriure com a -\frac{9}{8000000000000000000} extraient-ne el signe negatiu.

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

Multipliqueu 899000000000 per -\frac{9}{8000000000000000000} per obtenir -\frac{8091}{8000000000}.

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

Factoritzar

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