Lutasin ang 667*10^-11190*10^27*(108*10^23)/(19*10^6)*(19*{10^6)}

$$667 \times { 10 }^{ -11 } \frac{ 190 \times { 10 }^{ 27 } \times (108 \times { 10 }^{ 23 } ) }{ (19 \times { 10 }^{ 6 } ) \times (19 \times { 10 }^{ 6 } ) }$$

I-evaluate

$$\frac{720360000000000000000000000000000}{19}\approx 3.791368421 \cdot 10^{31}$$

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 27 at 23 para makuha ang 50.

$$667\times 10^{-11}\times \frac{190\times 10^{50}\times 108}{19\times 10^{6}\times 19\times 10^{6}}$$

Para mag-multiply ng mga power na may parehong base, i-add ang mga exponent ng mga ito. I-add ang 6 at 6 para makuha ang 12.

$$667\times 10^{-11}\times \frac{190\times 10^{50}\times 108}{19\times 10^{12}\times 19}$$

Kalkulahin ang 10 sa power ng -11 at kunin ang \frac{1}{100000000000}.

$$667\times \frac{1}{100000000000}\times \frac{190\times 10^{50}\times 108}{19\times 10^{12}\times 19}$$

I-multiply ang 667 at \frac{1}{100000000000} para makuha ang \frac{667}{100000000000}.

$$\frac{667}{100000000000}\times \frac{190\times 10^{50}\times 108}{19\times 10^{12}\times 19}$$

I-cancel out ang 10\times 19\times 10^{11} sa parehong numerator at denominator.

$$\frac{667}{100000000000}\times \frac{108\times 10^{39}}{19}$$

Kalkulahin ang 10 sa power ng 39 at kunin ang 1000000000000000000000000000000000000000.

$$\frac{667}{100000000000}\times \frac{108\times 1000000000000000000000000000000000000000}{19}$$

I-multiply ang 108 at 1000000000000000000000000000000000000000 para makuha ang 108000000000000000000000000000000000000000.

$$\frac{667}{100000000000}\times \frac{108000000000000000000000000000000000000000}{19}$$

I-multiply ang \frac{667}{100000000000} at \frac{108000000000000000000000000000000000000000}{19} para makuha ang \frac{720360000000000000000000000000000}{19}.

$$\frac{720360000000000000000000000000000}{19}$$

I-factor

$$\frac{2 ^ {30} \cdot 3 ^ {3} \cdot 5 ^ {28} \cdot 23 \cdot 29}{19} = 3.7913684210526317 \times 10^{31}\frac{6}{19} = 3.7913684210526317 \times 10^{31}$$