Q3. - Algebra 1

Question

Evaluate each expression.

$3^5$

Step-by-Step Solution

Answer

The value of the expression ${\mathbf{3}}^{\mathbf{5}}$ is 243.

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 3 as a factor 5 times.

$3^5=3\cdot 3\cdot 3\cdot 3\cdot 3$

Step 3. Multiply the values.

To further evaluate, multiply from left to right.

$3^5=243$

Therefore, the expression is equal to 243.