Lutasin ang 6.67*10^-11*100*7.12*10^-18/(100+6.4*10^-43)

$$\frac { 6.67 \times 10 ^ { - 11 } \times 100 \times 7.12 \times 10 ^ { - 18 } } { ( 100 + 6.4 \times 10 ^ { - 43 } ) }$$

I-evaluate

$$\frac{74203750000000000}{156250000000000000000000000000000000000000001}\approx 4.74904 \cdot 10^{-28}$$

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 -11 at -18 para makuha ang -29.

$$\frac{6.67\times 10^{-29}\times 100\times 7.12}{100+6.4\times 10^{-43}}$$

Kalkulahin ang 10 sa power ng -29 at kunin ang \frac{1}{100000000000000000000000000000}.

$$\frac{6.67\times \frac{1}{100000000000000000000000000000}\times 100\times 7.12}{100+6.4\times 10^{-43}}$$

I-multiply ang 6.67 at \frac{1}{100000000000000000000000000000} para makuha ang \frac{667}{10000000000000000000000000000000}.

$$\frac{\frac{667}{10000000000000000000000000000000}\times 100\times 7.12}{100+6.4\times 10^{-43}}$$

I-multiply ang \frac{667}{10000000000000000000000000000000} at 100 para makuha ang \frac{667}{100000000000000000000000000000}.

$$\frac{\frac{667}{100000000000000000000000000000}\times 7.12}{100+6.4\times 10^{-43}}$$

I-multiply ang \frac{667}{100000000000000000000000000000} at 7.12 para makuha ang \frac{59363}{1250000000000000000000000000000}.

$$\frac{\frac{59363}{1250000000000000000000000000000}}{100+6.4\times 10^{-43}}$$

Kalkulahin ang 10 sa power ng -43 at kunin ang \frac{1}{10000000000000000000000000000000000000000000}.

$$\frac{\frac{59363}{1250000000000000000000000000000}}{100+6.4\times \frac{1}{10000000000000000000000000000000000000000000}}$$

I-multiply ang 6.4 at \frac{1}{10000000000000000000000000000000000000000000} para makuha ang \frac{1}{1562500000000000000000000000000000000000000}.

$$\frac{\frac{59363}{1250000000000000000000000000000}}{100+\frac{1}{1562500000000000000000000000000000000000000}}$$

Idagdag ang 100 at \frac{1}{1562500000000000000000000000000000000000000} para makuha ang \frac{156250000000000000000000000000000000000000001}{1562500000000000000000000000000000000000000}.

$$\frac{\frac{59363}{1250000000000000000000000000000}}{\frac{156250000000000000000000000000000000000000001}{1562500000000000000000000000000000000000000}}$$

I-divide ang \frac{59363}{1250000000000000000000000000000} gamit ang \frac{156250000000000000000000000000000000000000001}{1562500000000000000000000000000000000000000} sa pamamagitan ng pagmu-multiply sa \frac{59363}{1250000000000000000000000000000} gamit ang reciprocal ng \frac{156250000000000000000000000000000000000000001}{1562500000000000000000000000000000000000000}.

$$\frac{59363}{1250000000000000000000000000000}\times \frac{1562500000000000000000000000000000000000000}{156250000000000000000000000000000000000000001}$$

I-multiply ang \frac{59363}{1250000000000000000000000000000} at \frac{1562500000000000000000000000000000000000000}{156250000000000000000000000000000000000000001} para makuha ang \frac{74203750000000000}{156250000000000000000000000000000000000000001}.

$$\frac{74203750000000000}{156250000000000000000000000000000000000000001}$$