Solve sqrt[3]{(1.3*10^-12/4})

$$\sqrt[3]{ ( \frac{ 1.3 \times { 10 }^{ -12 } }{ 4 } } )$$

Evaluate

$$\frac{\sqrt[3]{13}\times 5^{\frac{2}{3}}}{100000}\approx 0.000068753$$

Solution Steps

Calculate 10 to the power of -12 and get \frac{1}{1000000000000}.

$$\sqrt[3]{\frac{1.3\times \frac{1}{1000000000000}}{4}}$$

Multiply 1.3 and \frac{1}{1000000000000} to get \frac{13}{10000000000000}.

$$\sqrt[3]{\frac{\frac{13}{10000000000000}}{4}}$$

Express \frac{\frac{13}{10000000000000}}{4} as a single fraction.

$$\sqrt[3]{\frac{13}{10000000000000\times 4}}$$

Multiply 10000000000000 and 4 to get 40000000000000.

$$\sqrt[3]{\frac{13}{40000000000000}}$$