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

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

Процени

$$\frac{13012500000000000000000000000000000000000000000000000000000000}{667}\approx 1,95089955 \cdot 10^{58}$$

Чекори за решение

За да множите степени со иста основа, соберете ги нивните степенови показатели. Соберете ги 24 и 11 за да добиете 35.

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

За да множите степени со иста основа, соберете ги нивните степенови показатели. Соберете ги 35 и 11 за да добиете 46.

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

Пресметајте колку е 10 на степен од 22 и добијте 10000000000000000000000.

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

Помножете 347 и 10000000000000000000000 за да добиете 3470000000000000000000000.

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

Пресметајте колку е 10 на степен од -11 и добијте \frac{1}{100000000000}.

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

Помножете \frac{3470000000000000000000000}{667} и \frac{1}{100000000000} за да добиете \frac{34700000000000}{667}.

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

Изразете ја \frac{\frac{34700000000000}{667}}{6} како една дропка.

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

Помножете 667 и 6 за да добиете 4002.

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

Намалете ја дропката \frac{34700000000000}{4002} до најниските услови со извлекување и откажување на 2.

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

Пресметајте колку е 10 на степен од 46 и добијте 10000000000000000000000000000000000000000000000.

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

Помножете \frac{17350000000000}{2001} и 10000000000000000000000000000000000000000000000 за да добиете \frac{173500000000000000000000000000000000000000000000000000000000}{2001}.

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

Помножете \frac{173500000000000000000000000000000000000000000000000000000000}{2001} и 15 за да добиете \frac{867500000000000000000000000000000000000000000000000000000000}{667}.

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

Помножете \frac{867500000000000000000000000000000000000000000000000000000000}{667} и 15 за да добиете \frac{13012500000000000000000000000000000000000000000000000000000000}{667}.

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

Фактор

$$\frac{2 ^ {56} \cdot 3 \cdot 5 ^ {59} \cdot 347}{23 \cdot 29} = 1,950899550224888 \times 10^{58}\frac{535}{667} = 1,950899550224888 \times 10^{58}$$