Q55. - Algebra 1

Question

Evaluate the expression $8^2$. (Lesson 1-2)

Step-by-Step Solution

Answer

The solution is 64.

Step 1. Concept of exponent and base.

In the expression $a^x$, a is the base and x is the exponent.

The power is the result of repeated multiplication of the same factor. 

The expressions $a^x$ this means that a has been used as a factor x time.

Step 2. Example of the exponent.

Example: Write the product $5\cdot 5\cdot 5\cdot 5$ in the exponent.

For: $5\cdot 5\cdot 5\cdot 5$: the base $a=5$ and multiplied by 4 times. 

In repeated multiplication: $5\cdot 5\cdot 5\cdot 5$ in exponent form $5^4$

Step 3. Evaluate the expression.

$\begin{array}{c}{8}^2=8\cdot 8\\ =64\end{array}$

Therefore, the value of the expression $8^2$ is 64.