Calculate the numerator and denominator separately. Pay close attention to the order of operations.
12
Practice makes perfect
According to the order of operations, powers are evaluated before multiplication and division, while addition and subtraction are evaluated last.
(4*3)^2/9+3
In this case we have a fraction, which can be considered a grouping symbol. Therefore, we will evaluate the expressions in the numerator and denominator individually before completing the division.
Numerator
In order to evaluate the numerator, we calculate the product inside the parentheses and then evaluate the power.
Operation
Before Simplification
After Simplification
Multiply
( 4*3)^2
( 12)^2
Calculate power
(12)^2
144
The numerator evaluates to 144.
Denominator
As we can see, there is only addition in the denominator, so let's calculate the sum.
9+3 = 12
Quotient
Finally, combining these two results, we can calculate the quotient.
144/12 = 12
Alternative Solution
Using a Calculator
We can also evaluate this expression using a calculator. To do so, type it as shown below.
