Order of Operations With Whole Numbers and Exponents: Basic

Evaluate the expression

21 + 32 ÷ 4²

Solution

Step 1:

We follow the order of operations rule PEMDAS,

Here there are no parentheses.

Step 2:

So, first we evaluate the term with an exponent.

21 + 32 ÷ 4² =

21 + 32 ÷ 16

Step 3:

We do division

21 + 32 ÷ 16 =

21 + 2 =

Step 4:

We then do addition

21 + 2 = 23

Step 5:

So 21 + 32 ÷ 4² = 23

Evaluate the expression

(13 − 11)⁴ ÷ 4

Solution

Step 1:

We follow the order of operations rule PEMDAS,

Step 2:

So, first we evaluate the expression within parentheses (13 − 11)

(13 − 11)⁴ ÷ 4

(2)⁴ ÷ 4

Step 3:

Next we evaluate the term with an exponent

(2)⁴ ÷ 4 =

16 ÷ 4 =

Step 4:

We do division

16 ÷ 4 = 4

Step 5:

So (13 − 11)⁴ ÷ 4 = 4