Problem 1 - College Algebra Essentials

Question

Evaluate each exponential expression. $$5^{2} \cdot 2$$

Step-by-Step Solution

Answer

The simplification of the expression \(5^{2} \cdot 2\) results in 50.

Step 1: Solve the Exponential Expression

To start with, solve the exponential portion of the expression. Here, the base is 5 and the exponent is 2, meaning we will multiply 5 by itself 2 times. The calculation becomes: \(5^{2}\ = 5 \cdot 5 = 25\)

Step 2: Multiply the Result by 2

Now that we have resolved the exponential expression, we can complete the remaining arithmetic operation in the exercise. Thus, multiply the result from the first step by 2. Hence, the calculation becomes: \(25 \cdot 2 = 50\)