According to the order of operations, expressions inside parentheses are evaluated first, while addition and subtraction are evaluated last.
52+8^2-3(4-2)^3
For the given expression, this means evaluating the expression inside the parentheses before calculating the exponents. After that, we calculate the product and finally, the addition and subtraction.
Operation
Before Simplification
After Simplification
Subtract term
52+8^2-3( 4-2)^3
52+8^2-3( 2)^3
Calculate power
52+ 8^2-3( 2)^3
52+ 64-3( 8)
Multiply
52+64- 3( 8)
52+64- 24
Add terms
52+ 64-24
116-24
Subtract terms
116- 24
92
The expression equals 92.
Alternative Solution
Using a Calculator
We can also evaluate this expression using a calculator. To do so, type it as shown below.
