According to the order of operations, expressions inside parentheses are evaluated first. For the given expression, this means evaluating the expression inside the square brackets completely before raising to the power.
[(3)^2]^3
For this, we must remember to evaluate the inner exponent first and then the outer exponent.
Operation
Before Simplification
After Simplification
Calculate power
[(3)^2]^3
[ 9]^3
Calculate power
[9]^3
729
The expression equals 729.
Alternative Solution
Using a Calculator
We can also evaluate this expression using a calculator. To do so, type it as shown below.
