Solve (1/2)^3*(1/3)^3=

$$( \frac { 1 } { 2 } ) ^ { 3 } \times ( \frac { 1 } { 3 } ) ^ { 3 } =$$

Evaluate

$$\frac{1}{216}\approx 0.00462963$$

Solution Steps

Calculate \frac{1}{2} to the power of 3 and get \frac{1}{8}.

$$\frac{1}{8}\times \left(\frac{1}{3}\right)^{3}$$

Calculate \frac{1}{3} to the power of 3 and get \frac{1}{27}.

$$\frac{1}{8}\times \frac{1}{27}$$

Multiply \frac{1}{8} times \frac{1}{27} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{8\times 27}$$

Do the multiplications in the fraction \frac{1\times 1}{8\times 27}.

$$\frac{1}{216}$$

Factor

$$\frac{1}{2 ^ {3} \cdot 3 ^ {3}} = 0.004629629629629629$$