Problem 15 - Algebra and Trigonometry

Question

Evaluate each exponential expression. $$ \left(2^{2}\right)^{3} $$

Step-by-Step Solution

Answer

The value of the expression \( \left(2^{2}\right)^{3} \) is 64.

Step 1: Evaluate the inner exponent

Calculate the value of the expression inside the parentheses, \(2^{2}\), which means 2 multiplied by itself 2 times. This equals to 4.

Step 2: Apply the outer exponent

Next, apply the outer exponent to the result from the previous step. This means taking the result, which is 4, and raising to the power of 3. In other words, it is 4 multiplied by itself 3 times, which equals to 64.