Resolver sqrt[3]{667*10^-11*60*10^24*86400^2/4*(314)^2}

$$\sqrt[ 3 ] { \frac { 667 \times 10 ^ { - 11 } \times 60 \times 10 ^ { 24 } \times 86400 ^ { 2 } } { 4 \times ( 314 ) ^ { 2 } } }$$

Calcular

$$\frac{36000000\sqrt[3]{4002}\times 24649^{\frac{2}{3}}}{24649}\approx 19639409.571793571$$

Pasos da solución

Para multiplicar potencias da mesma base, suma os seus expoñentes. Suma -11 e 24 para obter 13.

$$\sqrt[3]{\frac{667\times 10^{13}\times 60\times 86400^{2}}{4\times 314^{2}}}$$

Anula 4 no numerador e no denominador.

$$\sqrt[3]{\frac{15\times 667\times 10^{13}\times 86400^{2}}{314^{2}}}$$

Multiplica 15 e 667 para obter 10005.

$$\sqrt[3]{\frac{10005\times 10^{13}\times 86400^{2}}{314^{2}}}$$

Calcula 10 á potencia de 13 e obtén 10000000000000.

$$\sqrt[3]{\frac{10005\times 10000000000000\times 86400^{2}}{314^{2}}}$$

Multiplica 10005 e 10000000000000 para obter 100050000000000000.

$$\sqrt[3]{\frac{100050000000000000\times 86400^{2}}{314^{2}}}$$

Calcula 86400 á potencia de 2 e obtén 7464960000.

$$\sqrt[3]{\frac{100050000000000000\times 7464960000}{314^{2}}}$$

Multiplica 100050000000000000 e 7464960000 para obter 746869248000000000000000000.

$$\sqrt[3]{\frac{746869248000000000000000000}{314^{2}}}$$

Calcula 314 á potencia de 2 e obtén 98596.

$$\sqrt[3]{\frac{746869248000000000000000000}{98596}}$$

Reduce a fracción \frac{746869248000000000000000000}{98596} a termos máis baixos extraendo e cancelando 4.

$$\sqrt[3]{\frac{186717312000000000000000000}{24649}}$$