Resolver sqrt[3]{3*53*10^-3/1000*314*4*100}

$$\sqrt[3]{ \frac{ 3 \times 53 \times { 10 }^{ -3 } }{ 1000 \times 314 \times 4 \times 100 } }$$

Avaliar

$$\frac{\sqrt[3]{159}\times 15700^{\frac{2}{3}}}{3140000}\approx 0,001081772$$

Passos Para a Resolução

Multiplique 3 e 53 para obter 159.

$$\sqrt[3]{\frac{159\times 10^{-3}}{1000\times 314\times 4\times 100}}$$

Calcule 10 elevado a -3 e obtenha \frac{1}{1000}.

$$\sqrt[3]{\frac{159\times \frac{1}{1000}}{1000\times 314\times 4\times 100}}$$

Multiplique 159 e \frac{1}{1000} para obter \frac{159}{1000}.

$$\sqrt[3]{\frac{\frac{159}{1000}}{1000\times 314\times 4\times 100}}$$

Multiplique 1000 e 314 para obter 314000.

$$\sqrt[3]{\frac{\frac{159}{1000}}{314000\times 4\times 100}}$$

Multiplique 314000 e 4 para obter 1256000.

$$\sqrt[3]{\frac{\frac{159}{1000}}{1256000\times 100}}$$

Multiplique 1256000 e 100 para obter 125600000.

$$\sqrt[3]{\frac{\frac{159}{1000}}{125600000}}$$

Expresse \frac{\frac{159}{1000}}{125600000} como uma fração única.

$$\sqrt[3]{\frac{159}{1000\times 125600000}}$$

Multiplique 1000 e 125600000 para obter 125600000000.

$$\sqrt[3]{\frac{159}{125600000000}}$$