Problem 1 - Algebra and Trigonometry

Question

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

Step-by-Step Solution

Answer

The result of the expression \(5^2 \cdot 2\) is 50.

Step 1: Calculate the Power

First, calculate the power of \(5^2\). This means 5 multiplied by itself 2 times. So \(5^2 = 5 \cdot 5 = 25\).

Step 2: Multiply the Result by 2

After having the result from step 1 calculated, we multiply this with 2. So it's \(25 \cdot 2 = 50\).