Calculate the numerator and denominator separately. Pay close attention to the order of operations.
3
Practice makes perfect
According to the order of operations, powers are evaluated before multiplication and division, while addition and subtraction are evaluated last.
(1+6)9/5^2-4
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 sum inside the parentheses first and then multiply it by 9.
Operation
Before Simplification
After Simplification
Calculate power
( 1+6)9
( 7)9
Multiply
(7)9
63
The numerator evaluates to 63.
Denominator
To evaluate the denominator, we should evaluate the power first and then calculate the difference.
Operation
Before Simplification
After Simplification
Calculate power
5^2-4
25-4
Subtract term
25-4
21
Quotient
Finally, combining these two results, we can calculate the quotient.
63/21 = 3
Alternative Solution
Using a Calculator
We can also evaluate this expression using a calculator. To do so, type it as shown below.
