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

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

Avaliar

$$\frac{36000000\sqrt[3]{4002}\times 24649^{\frac{2}{3}}}{24649}\approx 19639409,571793571$$

Passos Para a Resolução

Para multiplicar as potências da mesma base, some os seus expoentes. Some -11 e 24 para obter 13.

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

Anule 4 no numerador e no denominador.

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

Multiplique 15 e 667 para obter 10005.

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

Calcule 10 elevado a 13 e obtenha 10000000000000.

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

Multiplique 10005 e 10000000000000 para obter 100050000000000000.

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

Calcule 86400 elevado a 2 e obtenha 7464960000.

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

Multiplique 100050000000000000 e 7464960000 para obter 746869248000000000000000000.

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

Calcule 314 elevado a 2 e obtenha 98596.

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

Reduza a fração \frac{746869248000000000000000000}{98596} para os termos mais baixos ao retirar e anular 4.

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