Lutasin ang 663*10^-34*3*10^8/515*16^-19

$$\frac{ 663 \times { 10 }^{ -34 } \times 3 \times { 10 }^{ 8 } }{ 515 \times { 16 }^{ -19 } }$$

I-evaluate

$$\frac{2239414914709979136}{767409801483154296875}\approx 0.002918147$$

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 -34 at 8 para makuha ang -26.

$$\frac{663\times 10^{-26}\times 3}{515\times 16^{-19}}$$

Kalkulahin ang 10 sa power ng -26 at kunin ang \frac{1}{100000000000000000000000000}.

$$\frac{663\times \frac{1}{100000000000000000000000000}\times 3}{515\times 16^{-19}}$$

I-multiply ang 663 at \frac{1}{100000000000000000000000000} para makuha ang \frac{663}{100000000000000000000000000}.

$$\frac{\frac{663}{100000000000000000000000000}\times 3}{515\times 16^{-19}}$$

I-multiply ang \frac{663}{100000000000000000000000000} at 3 para makuha ang \frac{1989}{100000000000000000000000000}.

$$\frac{\frac{1989}{100000000000000000000000000}}{515\times 16^{-19}}$$

Kalkulahin ang 16 sa power ng -19 at kunin ang \frac{1}{75557863725914323419136}.

$$\frac{\frac{1989}{100000000000000000000000000}}{515\times \frac{1}{75557863725914323419136}}$$

I-multiply ang 515 at \frac{1}{75557863725914323419136} para makuha ang \frac{515}{75557863725914323419136}.

$$\frac{\frac{1989}{100000000000000000000000000}}{\frac{515}{75557863725914323419136}}$$

I-divide ang \frac{1989}{100000000000000000000000000} gamit ang \frac{515}{75557863725914323419136} sa pamamagitan ng pagmu-multiply sa \frac{1989}{100000000000000000000000000} gamit ang reciprocal ng \frac{515}{75557863725914323419136}.

$$\frac{1989}{100000000000000000000000000}\times \frac{75557863725914323419136}{515}$$

I-multiply ang \frac{1989}{100000000000000000000000000} at \frac{75557863725914323419136}{515} para makuha ang \frac{2239414914709979136}{767409801483154296875}.

$$\frac{2239414914709979136}{767409801483154296875}$$

I-factor

$$\frac{2 ^ {50} \cdot 3 ^ {2} \cdot 13 \cdot 17}{5 ^ {27} \cdot 103} = 0.0029181473971037586$$