Resolver x10^141.6710^-274/33.1415left(6.9610^8right)^3/1.2{10^-23}

$$\frac{ x { 10 }^{ 14 } 1.67 { 10 }^{ -27 } \frac{ 4 }{ 3 } 3.1415 { \left(6.96 { 10 }^{ 8 } \right) }^{ 3 } }{ 1.2 { 10 }^{ -23 } }$$

Calcular

$$19653447574272000000000000000000000000x$$

Pasos da solución

Para multiplicar potencias da mesma base, suma os seus expoñentes. Suma 14 e -27 para obter -13.

$$\frac{x\times 10^{-13}\times 1.67\times \frac{4}{3}\times 3.1415\times \left(6.96\times 10^{8}\right)^{3}}{1.2\times 10^{-23}}$$

Para dividir potencias da mesma base, resta o expoñente do denominador do expoñente do numerador.

$$\frac{\frac{4}{3}\times 1.67\times 3.1415\times 10^{10}\times \left(6.96\times 10^{8}\right)^{3}x}{1.2}$$

Multiplica \frac{4}{3} e 1.67 para obter \frac{167}{75}.

$$\frac{\frac{167}{75}\times 3.1415\times 10^{10}\times \left(6.96\times 10^{8}\right)^{3}x}{1.2}$$

Multiplica \frac{167}{75} e 3.1415 para obter \frac{1049261}{150000}.

$$\frac{\frac{1049261}{150000}\times 10^{10}\times \left(6.96\times 10^{8}\right)^{3}x}{1.2}$$

Calcula 10 á potencia de 10 e obtén 10000000000.

$$\frac{\frac{1049261}{150000}\times 10000000000\times \left(6.96\times 10^{8}\right)^{3}x}{1.2}$$

Multiplica \frac{1049261}{150000} e 10000000000 para obter \frac{209852200000}{3}.

$$\frac{\frac{209852200000}{3}\times \left(6.96\times 10^{8}\right)^{3}x}{1.2}$$

Calcula 10 á potencia de 8 e obtén 100000000.

$$\frac{\frac{209852200000}{3}\times \left(6.96\times 100000000\right)^{3}x}{1.2}$$

Multiplica 6.96 e 100000000 para obter 696000000.

$$\frac{\frac{209852200000}{3}\times 696000000^{3}x}{1.2}$$

Calcula 696000000 á potencia de 3 e obtén 337153536000000000000000000.

$$\frac{\frac{209852200000}{3}\times 337153536000000000000000000x}{1.2}$$

Multiplica \frac{209852200000}{3} e 337153536000000000000000000 para obter 23584137089126400000000000000000000000.

$$\frac{23584137089126400000000000000000000000x}{1.2}$$

Divide 23584137089126400000000000000000000000x entre 1.2 para obter 19653447574272000000000000000000000000x.

$$19653447574272000000000000000000000000x$$

Expandir

$$19653447574272000000000000000000000000x$$

Pasos da solución

Para multiplicar potencias da mesma base, suma os seus expoñentes. Suma 14 e -27 para obter -13.

$$\frac{x\times 10^{-13}\times 1.67\times \frac{4}{3}\times 3.1415\times \left(6.96\times 10^{8}\right)^{3}}{1.2\times 10^{-23}}$$

Para dividir potencias da mesma base, resta o expoñente do denominador do expoñente do numerador.

$$\frac{\frac{4}{3}\times 1.67\times 3.1415\times 10^{10}\times \left(6.96\times 10^{8}\right)^{3}x}{1.2}$$

Multiplica \frac{4}{3} e 1.67 para obter \frac{167}{75}.

$$\frac{\frac{167}{75}\times 3.1415\times 10^{10}\times \left(6.96\times 10^{8}\right)^{3}x}{1.2}$$

Multiplica \frac{167}{75} e 3.1415 para obter \frac{1049261}{150000}.

$$\frac{\frac{1049261}{150000}\times 10^{10}\times \left(6.96\times 10^{8}\right)^{3}x}{1.2}$$

Calcula 10 á potencia de 10 e obtén 10000000000.

$$\frac{\frac{1049261}{150000}\times 10000000000\times \left(6.96\times 10^{8}\right)^{3}x}{1.2}$$

Multiplica \frac{1049261}{150000} e 10000000000 para obter \frac{209852200000}{3}.

$$\frac{\frac{209852200000}{3}\times \left(6.96\times 10^{8}\right)^{3}x}{1.2}$$

Calcula 10 á potencia de 8 e obtén 100000000.

$$\frac{\frac{209852200000}{3}\times \left(6.96\times 100000000\right)^{3}x}{1.2}$$

Multiplica 6.96 e 100000000 para obter 696000000.

$$\frac{\frac{209852200000}{3}\times 696000000^{3}x}{1.2}$$

Calcula 696000000 á potencia de 3 e obtén 337153536000000000000000000.

$$\frac{\frac{209852200000}{3}\times 337153536000000000000000000x}{1.2}$$

Multiplica \frac{209852200000}{3} e 337153536000000000000000000 para obter 23584137089126400000000000000000000000.

$$\frac{23584137089126400000000000000000000000x}{1.2}$$

Divide 23584137089126400000000000000000000000x entre 1.2 para obter 19653447574272000000000000000000000000x.

$$19653447574272000000000000000000000000x$$