Solve sqrt[3]{1728*10^-27}

$$\sqrt[ 3 ] { 1728 \cdot 10 ^ { - 27 } }$$

Evaluate

$$\frac{3}{250000000}=0.000000012$$

Solution Steps

Calculate 10 to the power of -27 and get \frac{1}{1000000000000000000000000000}.

$$\sqrt[3]{1728\times \frac{1}{1000000000000000000000000000}}$$

Multiply 1728 and \frac{1}{1000000000000000000000000000} to get \frac{27}{15625000000000000000000000}.

$$\sqrt[3]{\frac{27}{15625000000000000000000000}}$$

Calculate \sqrt[3]{\frac{27}{15625000000000000000000000}} and get \frac{3}{250000000}.

$$\frac{3}{250000000}$$

Factor

$$\frac{3}{2 ^ {7} \cdot 5 ^ {9}} = 1.2 \times 10^{-8}$$