Solve (0.0004)1/2

$$(0.0004) \frac{ 1 }{ 2 }$$

Evaluate

$$0.0002$$

Solution Steps

Convert decimal number 0.0004 to fraction \frac{4}{10000}. Reduce the fraction \frac{4}{10000} to lowest terms by extracting and canceling out 4.

$$\frac{1}{2500}\times \frac{1}{2}$$

Multiply \frac{1}{2500} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{2500\times 2}$$

Do the multiplications in the fraction \frac{1\times 1}{2500\times 2}.

$$\frac{1}{5000}$$

Factor

$$\frac{1}{2 ^ {3} \cdot 5 ^ {4}} = 0.0002$$