Lutasin ang 1100^27.410^9/6.67*10^-11

$$\frac{ { 1100 }^{ 2 } 7.4 { 10 }^{ 9 } }{ 6.67 \times { 10 }^{ -11 } }$$

I-evaluate

$$\frac{89540000000000000000000000000}{667}\approx 1.342428786 \cdot 10^{26}$$

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.

$$\frac{7.4\times 10^{20}\times 1100^{2}}{6.67}$$

Kalkulahin ang 10 sa power ng 20 at kunin ang 100000000000000000000.

$$\frac{7.4\times 100000000000000000000\times 1100^{2}}{6.67}$$

I-multiply ang 7.4 at 100000000000000000000 para makuha ang 740000000000000000000.

$$\frac{740000000000000000000\times 1100^{2}}{6.67}$$

Kalkulahin ang 1100 sa power ng 2 at kunin ang 1210000.

$$\frac{740000000000000000000\times 1210000}{6.67}$$

I-multiply ang 740000000000000000000 at 1210000 para makuha ang 895400000000000000000000000.

$$\frac{895400000000000000000000000}{6.67}$$

I-expand ang \frac{895400000000000000000000000}{6.67} sa pamamagitan ng pag-multiply sa parehong numerator at denominator ng 100.

$$\frac{89540000000000000000000000000}{667}$$

I-factor

$$\frac{37 \cdot 2 ^ {26} \cdot 5 ^ {25} \cdot 11 ^ {2}}{23 \cdot 29} = 1.3424287856071964 \times 10^{26}\frac{13}{667} = 1.3424287856071964 \times 10^{26}$$