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 evaluating exponent and subtracting from it.
3^5-(1+10^2)
Notice also that even within this parenthetical expression, we must obey the order of operations.
1+10^2
For this, we must remember to evaluate the exponent first and then add it to 1.
Operation
Before Simplification
After Simplification
Calculate power
3^5-(1+ 10^2)
3^5-(1+ 100)
Add terms
3^5-( 1+100)
3^5- 101
Calculate power
3^5-101
243-101
Subtract term
243-101
142
The expression equals 142.
Alternative Solution
Using a Calculator
We can also evaluate this expression using a calculator. To do so, type it as shown below.
