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 parentheses completely before dividing by 6.
(4* 7 - 4^3 ) Ă· 6
For this, we must remember to evaluate the exponent first, the multiplication next, and then the difference between their results to evaluate the expression in parentheses. Then we can finally divide.
Operation
Before Simplification
After Simplification
Calculate power
(4* 7 - 4^3 ) Ă· 6
(4* 7 - 64 ) Ă· 6
Multiply
( 4* 7 - 64 ) Ă· 6
( 28 - 64 ) Ă· 6
Subtract term
( 28 - 64 ) Ă· 6
- 36 Ă· 6
Divide
- 36 Ă· 6
- 6
The expression equals - 6.
Alternative Solution
Using a Calculator
We can also evaluate this expression using a calculator. To do so, type it as shown below.
