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 and the exponent before adding the product.
7^2+2(3^3+5)Notice also that even within this parenthetical expression, we must follow the order of operations.
3^3+5
For this, we must remember to evaluate the exponent before adding the terms.
Operation
Before Simplification
After Simplification
Calculate power
7^2+2(3^3+5)
7^2+2(27+5)
Add terms
7^2+2( 27+ 5)
7^2+2( 32)
Multiply
7^2+ 2( 32)
7^2+ 64
Calculate power
7^2+64
49+64
Add terms
49+ 64
113
The expression equals 113.
Alternative Solution
Using a Calculator
We can also evaluate this expression using a calculator. To do so, type it as shown below.
