Solve sqrt[4]{6*2*10^-13/27}

$$\sqrt[ 4 ]{ \frac{ 6 \cdot 2 \times { 10 }^{ -13 } }{ 27 } }$$

Evaluate

$$\frac{360^{\frac{3}{4}}}{180000}\approx 0.00045915$$

Solution Steps

Multiply 6 and 2 to get 12.

$$\sqrt[4]{\frac{12\times 10^{-13}}{27}}$$

Calculate 10 to the power of -13 and get \frac{1}{10000000000000}.

$$\sqrt[4]{\frac{12\times \frac{1}{10000000000000}}{27}}$$

Multiply 12 and \frac{1}{10000000000000} to get \frac{3}{2500000000000}.

$$\sqrt[4]{\frac{\frac{3}{2500000000000}}{27}}$$

Express \frac{\frac{3}{2500000000000}}{27} as a single fraction.

$$\sqrt[4]{\frac{3}{2500000000000\times 27}}$$

Multiply 2500000000000 and 27 to get 67500000000000.

$$\sqrt[4]{\frac{3}{67500000000000}}$$

Reduce the fraction \frac{3}{67500000000000} to lowest terms by extracting and canceling out 3.

$$\sqrt[4]{\frac{1}{22500000000000}}$$