Easy Algebra Step-by-Step

Order of Operations 59

d. 85

e. 36 + 64

Solution

a. ()^4

Step 1. Parentheses are a grouping symbol, so do 11

fi rst.

() 11 )^444 = 22

Step 2. Evaluate 24.

= 16

b.^410

4

Step 1. The fraction bar is a grouping symbol, so do the addition, 410 ,

over the fraction bar fi rst.

410

4

14

4

=

Step 2. Simplify^14

4

.

=

7

2

c. −^72 +^5

35 −

Step 1. The fraction bar is a grouping symbol,

so do the addition, − 72 + 5 , over the

fraction bar and the subtraction, 35 ,

under the fraction bar fi rst.

−

=

−

72 + 5

35 −

18

2

Step 2. Compute

18

− 2

.

=− 9

When you no longer need the

grouping symbol, omit it.

)^444 ≠ 1114 .())^44 = 16 , but

11441 =+= 11112. Not performing the

addition, 11 , inside the parentheses fi rst

can lead to an incorrect result.

410

4

414 0

44

10

≠ ≠ 1.

Not performing the

addition, 410 , fi rst can lead to an incorrect result.

− 72 + (^5) ≠− ≠−
35 −
72 + 255
35 − 5
75 +
31 −
5
1

.^

− 72 + (^5) =−
35 −
9 but − 3175 −+ =− 22 =− 1.^
Not performing the addition, − 72 + 5,
and the subtraction, 35 , fi rst can lead
to an incorrect result.