Problem 2 - Algebra and Trigonometry

Question

Evaluate each exponential expression. $$ 6^{2} \cdot 2 $$

Step-by-Step Solution

Answer

The exponential expression \(6^{2} \cdot 2\) evaluates to 72.

Step 1: Calculate the exponential term

According to the exponent rules, \(6^{2}\) is equivalent to 6 multiplied by itself, so it can be evaluated as \(6 \cdot 6 = 36\)

Step 2: Multiply the result by remaining figure

Now multiply the result from Step 1 by 2. This is equal to \(36 \cdot 2 = 72\)