According to the order of operations, expressions inside parentheses are evaluated first, while addition and subtraction are evaluated last. For the given expression, this means evaluating the expression inside the brackets completely before multiplying and subtracting it from an exponent expression.
7^3-2/3(13*6+9)4
Notice also that even within this parenthetical expression, we must obey the order of operations.
13*6+9
For this, we must remember to evaluate the multiplication first, and then the sum.
Operation
Before Simplification
After Simplification
Multiply
7^3-2/3( 13*6+9)4
7^3-2/3( 78+9)4
Add terms
7^3-2/3( 78+9)4
7^3-2/3( 87)4
Calculate power
7^3-2/3(87)4
343-2/3(87)4
Multiply
343- 2/3(87)4
343-( 58)4
Multiply
343- (58)4
343- 232
Subtract term
343-232
111
The expression equals 111.
Alternative Solution
Using a Calculator
We can also evaluate this expression using a calculator. To do so, type it as shown below.
