Lutasin ang 8.85*10^-12*4.39*10^-5/314*831=

$$\frac { 8.85 \times 10 ^ { - 12 } \cdot 4.39 \times 10 ^ { - 5 } } { 314 \cdot 831 } =$$

I-evaluate

$$\frac{25901}{17395600000000000000000000}\approx 1.488939732 \cdot 10^{-21}$$

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 -12 at -5 para makuha ang -17.

$$\frac{8.85\times 10^{-17}\times 4.39}{314\times 831}$$

Kalkulahin ang 10 sa power ng -17 at kunin ang \frac{1}{100000000000000000}.

$$\frac{8.85\times \frac{1}{100000000000000000}\times 4.39}{314\times 831}$$

I-multiply ang 8.85 at \frac{1}{100000000000000000} para makuha ang \frac{177}{2000000000000000000}.

$$\frac{\frac{177}{2000000000000000000}\times 4.39}{314\times 831}$$

I-multiply ang \frac{177}{2000000000000000000} at 4.39 para makuha ang \frac{77703}{200000000000000000000}.

$$\frac{\frac{77703}{200000000000000000000}}{314\times 831}$$

I-multiply ang 314 at 831 para makuha ang 260934.

$$\frac{\frac{77703}{200000000000000000000}}{260934}$$

Ipakita ang \frac{\frac{77703}{200000000000000000000}}{260934} bilang isang single fraction.

$$\frac{77703}{200000000000000000000\times 260934}$$

I-multiply ang 200000000000000000000 at 260934 para makuha ang 52186800000000000000000000.

$$\frac{77703}{52186800000000000000000000}$$

Bawasan ang fraction \frac{77703}{52186800000000000000000000} sa pinakamabababang term sa pamamagitan ng pag-extract at pag-cancel out sa 3.

$$\frac{25901}{17395600000000000000000000}$$

I-factor

$$\frac{59 \cdot 439}{157 \cdot 277 \cdot 2 ^ {22} \cdot 5 ^ {20}} = 1.4889397318862243 \times 10^{-21}$$