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 in the numerator before calculating the fraction.
6^4 ÷ 3^2/9Also, notice that even within the expression in the numerator, we must obey the order of operations.
6^4 ÷ 3^2
For this, we must remember to evaluate the exponents first and the division next.
Operation
Before Simplification
After Simplification
Calculate power
6^4 ÷ 3^2/9
1296 ÷ 9/9
Calculate quotient
1296 ÷ 9/9
144/9
Calculate quotient
144/9
16
The expression equals 16.
Alternative Solution
Using a Calculator
We can also evaluate this expression using a calculator. To do so, type it as shown below.
