Simplifying the Expression 4^2 + 8/2

In the world of high school mathematics, one of the essential skills students need to master is the ability to simplify algebraic expressions. Today, we'll dive into the step-by-step process of simplifying the expression 4^2 + 8/2.

Step 1: Understand the Expression

The expression 4^2 + 8/2 consists of two main components: an exponent and a division operation.

4^2 represents the exponent, where 4 is the base and 2 is the exponent. This means we need to evaluate 4 raised to the power of 2.
8/2 represents the division operation, where we need to divide 8 by 2.

Step 2: Evaluate the Exponent

To evaluate the exponent 4^2, we need to multiply 4 by itself two times:

4^2 = 4 × 4 = 16

Step 3: Perform the Division

To evaluate the division 8/2, we need to divide 8 by 2:

8/2 = 4

Step 4: Combine the Results

Now that we have evaluated the exponent and the division, we can combine the results to simplify the expression:

4^2 + 8/2 = 16 + 4 = 20

Final Result

The simplified expression is 20.

By following these steps, you can effectively simplify the expression 4^2 + 8/2 and arrive at the final result of 20. Remember, mastering the simplification of algebraic expressions is a crucial skill in high school mathematics, as it lays the foundation for more advanced concepts and problem-solving.