Lutasin ang (16100)^2(39*10^10)/667*10^-11

$$\frac { ( 16100 ) ^ { 2 } ( 39 \times 10 ^ { 10 } ) } { 667 \times 10 ^ { - 11 } }$$

I-evaluate

$$\frac{439530000000000000000000000000}{29}\approx 1.51562069 \cdot 10^{28}$$

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.

$$\frac{39\times 10^{21}\times 16100^{2}}{667}$$

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

$$\frac{39\times 1000000000000000000000\times 16100^{2}}{667}$$

I-multiply ang 39 at 1000000000000000000000 para makuha ang 39000000000000000000000.

$$\frac{39000000000000000000000\times 16100^{2}}{667}$$

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

$$\frac{39000000000000000000000\times 259210000}{667}$$

I-multiply ang 39000000000000000000000 at 259210000 para makuha ang 10109190000000000000000000000000.

$$\frac{10109190000000000000000000000000}{667}$$

Bawasan ang fraction \frac{10109190000000000000000000000000}{667} sa pinakamabababang term sa pamamagitan ng pag-extract at pag-cancel out sa 23.

$$\frac{439530000000000000000000000000}{29}$$

I-factor

$$\frac{2 ^ {25} \cdot 3 \cdot 5 ^ {25} \cdot 7 ^ {2} \cdot 13 \cdot 23}{29} = 1.515620689655173 \times 10^{28}\frac{4}{29} = 1.515620689655173 \times 10^{28}$$