Lutasin ang (16100)^2(3.9*10^10)/6.67*10^-11

$$\frac { ( 16100 ) ^ { 2 } ( 3.9 \times 10 ^ { 10 } ) } { 6.67 \times 10 ^ { - 11 } }$$

I-evaluate

$$\frac{4395300000000000000000000000000}{29}\approx 1.51562069 \cdot 10^{29}$$

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.

$$\frac{3.9\times 10^{21}\times 16100^{2}}{6.67}$$

Kalkulahin ang 10 sa power ng 21 at kunin ang 1000000000000000000000.

$$\frac{3.9\times 1000000000000000000000\times 16100^{2}}{6.67}$$

I-multiply ang 3.9 at 1000000000000000000000 para makuha ang 3900000000000000000000.

$$\frac{3900000000000000000000\times 16100^{2}}{6.67}$$

Kalkulahin ang 16100 sa power ng 2 at kunin ang 259210000.

$$\frac{3900000000000000000000\times 259210000}{6.67}$$

I-multiply ang 3900000000000000000000 at 259210000 para makuha ang 1010919000000000000000000000000.

$$\frac{1010919000000000000000000000000}{6.67}$$

I-expand ang \frac{1010919000000000000000000000000}{6.67} sa pamamagitan ng pag-multiply sa parehong numerator at denominator ng 100.

$$\frac{101091900000000000000000000000000}{667}$$

Bawasan ang fraction \frac{101091900000000000000000000000000}{667} sa pinakamabababang term sa pamamagitan ng pag-extract at pag-cancel out sa 23.

$$\frac{4395300000000000000000000000000}{29}$$

I-factor

$$\frac{3 \cdot 13 \cdot 23 \cdot 2 ^ {26} \cdot 5 ^ {26} \cdot 7 ^ {2}}{29} = 1.5156206896551725 \times 10^{29}$$