Lutasin ang 316*9*10^9left(1.6*10^-19right)^2/6.64*10^-27{left(5*{10^7right)}^-2}

$$\frac{ 316 \cdot 9 \times { 10 }^{ 9 } { \left(1.6 \times { 10 }^{ -19 } \right) }^{ 2 } }{ 6.64 \times { 10 }^{ -27 } { \left(5 \times { 10 }^{ 7 } \right) }^{ -2 } }$$

I-evaluate

$$\frac{2275200000000000000}{83}\approx 2.741204819 \cdot 10^{16}$$

Mga Hakbang ng Solution

Para magi-divide ng mga power na may parehong base, i-subtract ang exponent ng denominator mula sa exponent ng numerator.

$$\frac{9\times 316\times 10^{36}\times \left(1.6\times 10^{-19}\right)^{2}}{6.64\times \left(5\times 10^{7}\right)^{-2}}$$

I-multiply ang 9 at 316 para makuha ang 2844.

$$\frac{2844\times 10^{36}\times \left(1.6\times 10^{-19}\right)^{2}}{6.64\times \left(5\times 10^{7}\right)^{-2}}$$

Kalkulahin ang 10 sa power ng 36 at kunin ang 1000000000000000000000000000000000000.

$$\frac{2844\times 1000000000000000000000000000000000000\times \left(1.6\times 10^{-19}\right)^{2}}{6.64\times \left(5\times 10^{7}\right)^{-2}}$$

I-multiply ang 2844 at 1000000000000000000000000000000000000 para makuha ang 2844000000000000000000000000000000000000.

$$\frac{2844000000000000000000000000000000000000\times \left(1.6\times 10^{-19}\right)^{2}}{6.64\times \left(5\times 10^{7}\right)^{-2}}$$

Kalkulahin ang 10 sa power ng -19 at kunin ang \frac{1}{10000000000000000000}.

$$\frac{2844000000000000000000000000000000000000\times \left(1.6\times \frac{1}{10000000000000000000}\right)^{2}}{6.64\times \left(5\times 10^{7}\right)^{-2}}$$

I-multiply ang 1.6 at \frac{1}{10000000000000000000} para makuha ang \frac{1}{6250000000000000000}.

$$\frac{2844000000000000000000000000000000000000\times \left(\frac{1}{6250000000000000000}\right)^{2}}{6.64\times \left(5\times 10^{7}\right)^{-2}}$$

Kalkulahin ang \frac{1}{6250000000000000000} sa power ng 2 at kunin ang \frac{1}{39062500000000000000000000000000000000}.

$$\frac{2844000000000000000000000000000000000000\times \frac{1}{39062500000000000000000000000000000000}}{6.64\times \left(5\times 10^{7}\right)^{-2}}$$

I-multiply ang 2844000000000000000000000000000000000000 at \frac{1}{39062500000000000000000000000000000000} para makuha ang \frac{45504}{625}.

$$\frac{\frac{45504}{625}}{6.64\times \left(5\times 10^{7}\right)^{-2}}$$

Kalkulahin ang 10 sa power ng 7 at kunin ang 10000000.

$$\frac{\frac{45504}{625}}{6.64\times \left(5\times 10000000\right)^{-2}}$$

I-multiply ang 5 at 10000000 para makuha ang 50000000.

$$\frac{\frac{45504}{625}}{6.64\times 50000000^{-2}}$$

Kalkulahin ang 50000000 sa power ng -2 at kunin ang \frac{1}{2500000000000000}.

$$\frac{\frac{45504}{625}}{6.64\times \frac{1}{2500000000000000}}$$

I-multiply ang 6.64 at \frac{1}{2500000000000000} para makuha ang \frac{83}{31250000000000000}.

$$\frac{\frac{45504}{625}}{\frac{83}{31250000000000000}}$$

I-divide ang \frac{45504}{625} gamit ang \frac{83}{31250000000000000} sa pamamagitan ng pagmu-multiply sa \frac{45504}{625} gamit ang reciprocal ng \frac{83}{31250000000000000}.

$$\frac{45504}{625}\times \frac{31250000000000000}{83}$$

I-multiply ang \frac{45504}{625} at \frac{31250000000000000}{83} para makuha ang \frac{2275200000000000000}{83}.

$$\frac{2275200000000000000}{83}$$

I-factor

$$\frac{79 \cdot 2 ^ {19} \cdot 3 ^ {2} \cdot 5 ^ {14}}{83} = 27412048192771084\frac{28}{83} = 27412048192771084$$