a) \( (15: 2)^{3}= \)

To solve \( (15: 2)^{3} \), first, divide 15 by 2, which gives you 7.5. Then, raise 7.5 to the power of 3. That means you multiply 7.5 by itself three times: \( 7.5 \times 7.5 \times 7.5 \). This results in 421.875. So, \( (15: 2)^{3} = 421.875 \). Now you have a neat cube calculation that takes a simple division and turns it into a sizable result! Math can sometimes create unexpected surprises, like how this little operation takes you into the realms of larger numbers. Keep exploring similar calculations; you'll find the joy in transforming smaller figures into grand calculations!