Lutasin ang 347*10^22div667*10^-11div6*10^24*15*10^11*15*{10}^11

$$347 \times { 10 }^{ 22 } \div 667 \times { 10 }^{ -11 } \div 6 \times { 10 }^{ 24 } \times 15 \times { 10 }^{ 11 } \times 15 \times { 10 }^{ 11 }$$

I-evaluate

$$\frac{13012500000000000000000000000000000000000000000000000000000000}{667}\approx 1.95089955 \cdot 10^{58}$$

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 24 at 11 para makuha ang 35.

$$\frac{\frac{347\times 10^{22}}{667}\times 10^{-11}}{6}\times 10^{35}\times 15\times 15\times 10^{11}$$

Para mag-multiply ng mga power na may parehong base, i-add ang mga exponent ng mga ito. I-add ang 35 at 11 para makuha ang 46.

$$\frac{\frac{347\times 10^{22}}{667}\times 10^{-11}}{6}\times 10^{46}\times 15\times 15$$

Kalkulahin ang 10 sa power ng 22 at kunin ang 10000000000000000000000.

$$\frac{\frac{347\times 10000000000000000000000}{667}\times 10^{-11}}{6}\times 10^{46}\times 15\times 15$$

I-multiply ang 347 at 10000000000000000000000 para makuha ang 3470000000000000000000000.

$$\frac{\frac{3470000000000000000000000}{667}\times 10^{-11}}{6}\times 10^{46}\times 15\times 15$$

Kalkulahin ang 10 sa power ng -11 at kunin ang \frac{1}{100000000000}.

$$\frac{\frac{3470000000000000000000000}{667}\times \frac{1}{100000000000}}{6}\times 10^{46}\times 15\times 15$$

I-multiply ang \frac{3470000000000000000000000}{667} at \frac{1}{100000000000} para makuha ang \frac{34700000000000}{667}.

$$\frac{\frac{34700000000000}{667}}{6}\times 10^{46}\times 15\times 15$$

Ipakita ang \frac{\frac{34700000000000}{667}}{6} bilang isang single fraction.

$$\frac{34700000000000}{667\times 6}\times 10^{46}\times 15\times 15$$

I-multiply ang 667 at 6 para makuha ang 4002.

$$\frac{34700000000000}{4002}\times 10^{46}\times 15\times 15$$

Bawasan ang fraction \frac{34700000000000}{4002} sa pinakamabababang term sa pamamagitan ng pag-extract at pag-cancel out sa 2.

$$\frac{17350000000000}{2001}\times 10^{46}\times 15\times 15$$

Kalkulahin ang 10 sa power ng 46 at kunin ang 10000000000000000000000000000000000000000000000.

$$\frac{17350000000000}{2001}\times 10000000000000000000000000000000000000000000000\times 15\times 15$$

I-multiply ang \frac{17350000000000}{2001} at 10000000000000000000000000000000000000000000000 para makuha ang \frac{173500000000000000000000000000000000000000000000000000000000}{2001}.

$$\frac{173500000000000000000000000000000000000000000000000000000000}{2001}\times 15\times 15$$

I-multiply ang \frac{173500000000000000000000000000000000000000000000000000000000}{2001} at 15 para makuha ang \frac{867500000000000000000000000000000000000000000000000000000000}{667}.

$$\frac{867500000000000000000000000000000000000000000000000000000000}{667}\times 15$$

I-multiply ang \frac{867500000000000000000000000000000000000000000000000000000000}{667} at 15 para makuha ang \frac{13012500000000000000000000000000000000000000000000000000000000}{667}.

$$\frac{13012500000000000000000000000000000000000000000000000000000000}{667}$$

I-factor

$$\frac{2 ^ {56} \cdot 3 \cdot 5 ^ {59} \cdot 347}{23 \cdot 29} = 1.950899550224888 \times 10^{58}\frac{535}{667} = 1.950899550224888 \times 10^{58}$$