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

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

Calcular

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

Pasos da solución

Para multiplicar potencias da mesma base, suma os seus expoñentes. Suma 24 e 11 para obter 35.

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

Para multiplicar potencias da mesma base, suma os seus expoñentes. Suma 35 e 11 para obter 46.

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

Calcula 10 á potencia de 22 e obtén 10000000000000000000000.

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

Multiplica 347 e 10000000000000000000000 para obter 3470000000000000000000000.

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

Calcula 10 á potencia de -11 e obtén \frac{1}{100000000000}.

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

Multiplica \frac{3470000000000000000000000}{667} e \frac{1}{100000000000} para obter \frac{34700000000000}{667}.

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

Expresa \frac{\frac{34700000000000}{667}}{6} como unha única fracción.

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

Multiplica 667 e 6 para obter 4002.

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

Reduce a fracción \frac{34700000000000}{4002} a termos máis baixos extraendo e cancelando 2.

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

Calcula 10 á potencia de 46 e obtén 10000000000000000000000000000000000000000000000.

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

Multiplica \frac{17350000000000}{2001} e 10000000000000000000000000000000000000000000000 para obter \frac{173500000000000000000000000000000000000000000000000000000000}{2001}.

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

Multiplica \frac{173500000000000000000000000000000000000000000000000000000000}{2001} e 15 para obter \frac{867500000000000000000000000000000000000000000000000000000000}{667}.

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

Multiplica \frac{867500000000000000000000000000000000000000000000000000000000}{667} e 15 para obter \frac{13012500000000000000000000000000000000000000000000000000000000}{667}.

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

Factorizar

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