Lutasin ang frac{3^{2}*(6*626*10^-34)^2}{8*9*1*10^-31*(48.05*10^-9)}

$$\frac { 3 ^ { 2 } \times ( 6 \cdot 626 \times 10 ^ { - 34 } ) ^ { 2 } } { 8 \times 9 \cdot 1 \times 10 ^ { - 31 } \times ( 48.05 \times 10 ^ { - 9 } ) }$$

I-evaluate

$$\frac{881721}{240250000000000000000000000000}\approx 3.670014568 \cdot 10^{-24}$$

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 -31 at -9 para makuha ang -40.

$$\frac{3^{2}\times \left(6\times 626\times 10^{-34}\right)^{2}}{8\times 9\times 1\times 10^{-40}\times 48.05}$$

Kalkulahin ang 3 sa power ng 2 at kunin ang 9.

$$\frac{9\times \left(6\times 626\times 10^{-34}\right)^{2}}{8\times 9\times 1\times 10^{-40}\times 48.05}$$

I-multiply ang 6 at 626 para makuha ang 3756.

$$\frac{9\times \left(3756\times 10^{-34}\right)^{2}}{8\times 9\times 1\times 10^{-40}\times 48.05}$$

Kalkulahin ang 10 sa power ng -34 at kunin ang \frac{1}{10000000000000000000000000000000000}.

$$\frac{9\times \left(3756\times \frac{1}{10000000000000000000000000000000000}\right)^{2}}{8\times 9\times 1\times 10^{-40}\times 48.05}$$

I-multiply ang 3756 at \frac{1}{10000000000000000000000000000000000} para makuha ang \frac{939}{2500000000000000000000000000000000}.

$$\frac{9\times \left(\frac{939}{2500000000000000000000000000000000}\right)^{2}}{8\times 9\times 1\times 10^{-40}\times 48.05}$$

Kalkulahin ang \frac{939}{2500000000000000000000000000000000} sa power ng 2 at kunin ang \frac{881721}{6250000000000000000000000000000000000000000000000000000000000000000}.

$$\frac{9\times \frac{881721}{6250000000000000000000000000000000000000000000000000000000000000000}}{8\times 9\times 1\times 10^{-40}\times 48.05}$$

I-multiply ang 9 at \frac{881721}{6250000000000000000000000000000000000000000000000000000000000000000} para makuha ang \frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000}.

$$\frac{\frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000}}{8\times 9\times 1\times 10^{-40}\times 48.05}$$

I-multiply ang 8 at 9 para makuha ang 72.

$$\frac{\frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000}}{72\times 1\times 10^{-40}\times 48.05}$$

I-multiply ang 72 at 1 para makuha ang 72.

$$\frac{\frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000}}{72\times 10^{-40}\times 48.05}$$

Kalkulahin ang 10 sa power ng -40 at kunin ang \frac{1}{10000000000000000000000000000000000000000}.

$$\frac{\frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000}}{72\times \frac{1}{10000000000000000000000000000000000000000}\times 48.05}$$

I-multiply ang 72 at \frac{1}{10000000000000000000000000000000000000000} para makuha ang \frac{9}{1250000000000000000000000000000000000000}.

$$\frac{\frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000}}{\frac{9}{1250000000000000000000000000000000000000}\times 48.05}$$

I-multiply ang \frac{9}{1250000000000000000000000000000000000000} at 48.05 para makuha ang \frac{8649}{25000000000000000000000000000000000000000}.

$$\frac{\frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000}}{\frac{8649}{25000000000000000000000000000000000000000}}$$

I-divide ang \frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000} gamit ang \frac{8649}{25000000000000000000000000000000000000000} sa pamamagitan ng pagmu-multiply sa \frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000} gamit ang reciprocal ng \frac{8649}{25000000000000000000000000000000000000000}.

$$\frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000}\times \frac{25000000000000000000000000000000000000000}{8649}$$

I-multiply ang \frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000} at \frac{25000000000000000000000000000000000000000}{8649} para makuha ang \frac{881721}{240250000000000000000000000000}.

$$\frac{881721}{240250000000000000000000000000}$$

I-factor

$$\frac{3 ^ {2} \cdot 313 ^ {2}}{2 ^ {25} \cdot 5 ^ {27} \cdot 31 ^ {2}} = 3.670014568158169 \times 10^{-24}$$