Lutasin ang 6626*10^-34^/4*31410^-210^-5

$$\frac{ 6626 \times { 10 }^{ { -34 }^{ } } }{ 4 \cdot 314 { 10 }^{ -2 } { 10 }^{ -5 } }$$

I-evaluate

$$\frac{3313}{628000000000000000000000000000}\approx 5.275477707 \cdot 10^{-27}$$

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 -2 at -5 para makuha ang -7.

$$\frac{6626\times 10^{\left(-34\right)^{1}}}{4\times 314\times 10^{-7}}$$

I-cancel out ang 2 sa parehong numerator at denominator.

$$\frac{3313\times 10^{\left(-34\right)^{1}}}{2\times 314\times 10^{-7}}$$

Kalkulahin ang -34 sa power ng 1 at kunin ang -34.

$$\frac{3313\times 10^{-34}}{2\times 314\times 10^{-7}}$$

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

$$\frac{3313\times \frac{1}{10000000000000000000000000000000000}}{2\times 314\times 10^{-7}}$$

I-multiply ang 3313 at \frac{1}{10000000000000000000000000000000000} para makuha ang \frac{3313}{10000000000000000000000000000000000}.

$$\frac{\frac{3313}{10000000000000000000000000000000000}}{2\times 314\times 10^{-7}}$$

I-multiply ang 2 at 314 para makuha ang 628.

$$\frac{\frac{3313}{10000000000000000000000000000000000}}{628\times 10^{-7}}$$

Kalkulahin ang 10 sa power ng -7 at kunin ang \frac{1}{10000000}.

$$\frac{\frac{3313}{10000000000000000000000000000000000}}{628\times \frac{1}{10000000}}$$

I-multiply ang 628 at \frac{1}{10000000} para makuha ang \frac{157}{2500000}.

$$\frac{\frac{3313}{10000000000000000000000000000000000}}{\frac{157}{2500000}}$$

I-divide ang \frac{3313}{10000000000000000000000000000000000} gamit ang \frac{157}{2500000} sa pamamagitan ng pagmu-multiply sa \frac{3313}{10000000000000000000000000000000000} gamit ang reciprocal ng \frac{157}{2500000}.

$$\frac{3313}{10000000000000000000000000000000000}\times \frac{2500000}{157}$$

I-multiply ang \frac{3313}{10000000000000000000000000000000000} at \frac{2500000}{157} para makuha ang \frac{3313}{628000000000000000000000000000}.

$$\frac{3313}{628000000000000000000000000000}$$

I-factor

$$\frac{3313}{2 ^ {29} \cdot 5 ^ {27} \cdot 157} = 5.275477707006369 \times 10^{-27}$$