Solve (0,009)1/3

$$( 0,009 ) \frac { 1 } { 3 }$$

Evaluate

$$0,003$$

Solution Steps

Convert decimal number 0,009 to fraction \frac{9}{1000}.

$$\frac{9}{1000}\times \frac{1}{3}$$

Multiply \frac{9}{1000} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 1}{1000\times 3}$$

Do the multiplications in the fraction \frac{9\times 1}{1000\times 3}.

$$\frac{9}{3000}$$

Reduce the fraction \frac{9}{3000} to lowest terms by extracting and canceling out 3.

$$\frac{3}{1000}$$

Factor

$$\frac{3}{2 ^ {3} \cdot 5 ^ {3}} = 0.003$$