Round #640

What is 2 cubed times 3 squared?

To solve the expression "2 cubed times 3 squared," we need to follow these steps: 1. Calculate \(2\) cubed. 2. Calculate \(3\) squared. 3. Multiply the results from steps 1 and 2. Let's do this step-by-step using Python code to ensure accuracy. ```python # Step 1: Calculate 2 cubed two_cubed = 2 ** 3 # Step 2: Calculate 3 squared three_squared = 3 ** 2 # Step 3: Multiply the results from steps 1 and 2 result = two_cubed * three_squared print(result) ``` ```output 72 ``` The result of \(2\) cubed times \(3\) squared is \(\boxed{72}\).

To solve the problem of calculating \(2^3 \times 3^2\), we can use basic arithmetic operations in C#. Here's how you can implement it: ```csharp using System; class Program { static void Main() { int result = CalculateExpression(); Console.WriteLine("The result is: " + result); } static int CalculateExpression() { // Calculate 2^3 int cubeOfTwo = (int)Math.Pow(2, 3); // Calculate 3^2 int squareOfThree = (int)Math.Pow(3, 2); // Multiply the results return cubeOfTwo * squareOfThree; } } ``` ### Explanation: 1. **Math.Pow Method**: The `Math.Pow` method is used to calculate the power of a number. It takes two arguments: the base and the exponent. - `Math.Pow(2, 3)` calculates \(2^3\), which equals 8. - `Math.Pow(3, 2)` calculates \(3^2\), which equals 9. 2. **Multiplication**: The results of the two power calculations are then multiplied together to get the final result. 3. **Output**: The result is printed to the console using `Console.WriteLine`. This implementation is straightforward and follows C# best practices for performing arithmetic operations and handling output.