Here we will show you two different procedures you can use to calculate the cube root of 9 divided by the cube root of 16. In other words, we will show you how to calculate ∛9 ÷ ∛16 two different ways.
Procedure 1
This may be the most obvious procedure, where you first calculate the cube root of each number, and then divide the result, like this:
∛9 ≈ 2.0801
∛16 ≈ 2.5198
2.0801 ÷ 2.5198 ≈ 0.8255
∛9 ÷ ∛16 ≈ 0.8255
Procedure 2
This procedure may be the fastest. Since ∛9 ÷ ∛16 is the same as ∛(34/56), you can first divide the numbers, and then find the cube root of the quotient, like this:
9 ÷ 16 = 0.5625
∛0.5625 ≈ 0.8255
∛9 ÷ ∛16 ≈ 0.8255
Dividing Cube Roots
Use the tool below to divide another set of cube roots.
Cube root of 9 divided by cube root of 17
Go here for another cube root division problem that you may find interesting.