Calculate ∛-8

Step by step

The question

Question: find ∛−8.

The small 3 says how many times.

∛−8 asks: which number, times itself 3 times, makes −8?

1 Look at the sign

3 is odd.

A minus number times itself 3 times stays minus.

So the answer is minus.

So ∛−8 is minus ∛8.

2 List the cubes

Cubes are a number times itself 3 times.

2 × 2 × 2 is 8.

3 × 3 × 3 is 27.

8 is in the list: 2 × 2 × 2 is 8.

So ∛−8 = −2.

3 Check

Let's check: −2 times itself 3 times.

We get −8.

So the answer is right!

Let's look back.

First: look at the sign.

Then: list the cubes.

Last: check.