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

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

I-evaluate

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

Mga Hakbang ng Solution

Para mag-multiply ng mga power na may parehong base, i-add ang mga exponent ng mga ito. I-add ang -9 at -9 para makuha ang -18.

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

Kalkulahin ang 10 sa power ng 9 at kunin ang 1000000000.

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

I-multiply ang 899 at 1000000000 para makuha ang 899000000000.

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

Kalkulahin ang 10 sa power ng -18 at kunin ang \frac{1}{1000000000000000000}.

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

I-multiply ang 6 at \frac{1}{1000000000000000000} para makuha ang \frac{3}{500000000000000000}.

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

I-multiply ang \frac{3}{500000000000000000} at -3 para makuha ang -\frac{9}{500000000000000000}.

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

Kalkulahin ang 4 sa power ng 2 at kunin ang 16.

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

Ipakita ang \frac{-\frac{9}{500000000000000000}}{16} bilang isang single fraction.

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

I-multiply ang 500000000000000000 at 16 para makuha ang 8000000000000000000.

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

Maaaring maisulat muli ang fraction na \frac{-9}{8000000000000000000} bilang -\frac{9}{8000000000000000000} sa pamamagitan ng pag-extract sa negative sign.

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

I-multiply ang 899000000000 at -\frac{9}{8000000000000000000} para makuha ang -\frac{8091}{8000000000}.

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

I-factor

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