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 difference inside the parentheses and the power, before calculating the quotient.
Operation
Before Simplification
After Simplification
Subtract term
1-( 1-5)^2Ă·(-8)
1-( -4)^2Ă·(-8)
Calculate power
1-(-4)^2Ă·(-8)
1- 16Ă·(-8)
Calculate quotient
1- 16Ă·(-8)
1-( -2)
Subtract term
1-(-2)
3
The expression equals 3.
Alternative Solution
Using a Calculator
We can also evaluate this expression using a calculator. To do so, type it as shown below.
