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 square brackets completely before dividing terms.
108Ă·[3(9+3^2)]
Notice also that even within this parenthetical expression, we must obey the order of operations.
3(9+3^2)
For this, we must remember to evaluate the exponent first, then add result to 9 and finally multiply by 3.
Operation
Before Simplification
After Simplification
Calculate power
108Ă·[3(9+ 3^2)]
108Ă·[3(9+ 9)]
Add terms
108Ă·[3( 9+9)]
108Ă·[3( 18)]
Multiply
108Ă·[ 3(18)]
108Ă·[ 54]
Calculate quotient
108Ă·[54]
2
The expression equals 2.
Alternative Solution
Using a Calculator
We can also evaluate this expression using a calculator. To do so, type it as shown below.
