Q1. - Algebra 1

Question

Evaluate each expression.

$9^2$

Step-by-Step Solution

Answer

The value of the expression ${\mathbf{9}}^{\mathbf{2}}$ is 81.

Step 1. Order of operations.

In order to evaluate an expression, the order of operations must be followed, which is:

1. Evaluate the expressions inside the bracket
2. Evaluate the powers
3. Multiply and/or divide
4. Add and/ or subtract 

The evaluation takes place from left to right.

Step 2. Evaluate all powers.

Use 9 as a factor 2 times.

$9^2=9\cdot 9$

Step 3. Multiply from left to right.

To further evaluate multiply 9 by 9.

$9^2=81$

Therefore, the expression is equal to 81.