b) \( (50 \div 5)^{3}= \)

To solve \( (50 \div 5)^{3} \), first simplify the expression inside the parentheses: \( 50 \div 5 = 10 \). Now you have \( 10^{3} \). Raising 10 to the power of 3 gives you \( 10 \times 10 \times 10 = 1000 \). So the final answer is \( 1000 \)! Understanding the order of operations is key in math. Always remember to tackle expressions in parentheses first, followed by exponents and then multiplication or division from left to right. This strategy will help you avoid pitfalls in more complex problems! For a fun fact, did you know that exponents have real-world applications? They’re often used in fields like computer science for algorithm complexity, physics for gravitational forces, and finance for compound interest calculations. They help simplify the representation of large numbers, making it easier to manipulate and communicate them!