Solve {left(1/2right)}^4{left(2/3right)}^3

$${ \left( \frac{ 1 }{ 2 } \right) }^{ 4 } { \left( \frac{ 2 }{ 3 } \right) }^{ 3 }$$

Evaluate

$$\frac{1}{54}\approx 0.018518519$$

Solution Steps

Calculate \frac{1}{2} to the power of 4 and get \frac{1}{16}.

$$\frac{1}{16}\times \left(\frac{2}{3}\right)^{3}$$

Calculate \frac{2}{3} to the power of 3 and get \frac{8}{27}.

$$\frac{1}{16}\times \frac{8}{27}$$

Multiply \frac{1}{16} times \frac{8}{27} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 8}{16\times 27}$$

Do the multiplications in the fraction \frac{1\times 8}{16\times 27}.

$$\frac{8}{432}$$

Reduce the fraction \frac{8}{432} to lowest terms by extracting and canceling out 8.

$$\frac{1}{54}$$

Factor

$$\frac{1}{2 \cdot 3 ^ {3}} = 0.018518518518518517$$