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 subtraction.
[2^3 * (152 Ă· 8)] - 52
Notice also that even within this parenthetical expression, we must obey the order of operations.
2^3*(152Ă· 8)
For this, we must remember to evaluate the expression inside parentheses first, the exponent next, and finally the product.
Operation
Before Simplification
After Simplification
Divide
[2^3 * ( 152 Ă· 8)] - 52
[2^3 * 19] - 52
Calculate power
[2^3 * 19] - 52
[ 8 * 19] - 52
Multiply
[ 8 * 19] - 52
152-52
Subtract term
152- 52
100
The expression equals 100.
Alternative Solution
Using a Calculator
We can also evaluate this expression using a calculator. To do so, type it as shown below.
