b) \( 0.5^{3} \div 2^{3} \)

To simplify \( 0.5^{3} \div 2^{3} \), first recognize that \( 0.5 \) can be rewritten as \( \frac{1}{2} \). Therefore, \( 0.5^{3} \) becomes \( \left( \frac{1}{2} \right)^{3} = \frac{1^3}{2^3} = \frac{1}{8} \). Now, dividing by \( 2^{3} \) means you're dividing \( \frac{1}{8} \) by \( 8 \) (since \( 2^3 = 8 \)). So, \( \frac{1}{8} \div 8 = \frac{1}{8} \times \frac{1}{8} = \frac{1}{64} \). The final result is \( \frac{1}{64} \).