Calculate ∛-64

Step by step

The question

Question: find ∛−64.

The small 3 says how many times.

∛−64 asks: which number, times itself 3 times, makes −64?

1 Look at the sign

3 is odd.

A minus number times itself 3 times stays minus.

So the answer is minus.

So ∛−64 is minus ∛64.

2 List the cubes

Cubes are a number times itself 3 times.

2 × 2 × 2 is 8.

3 × 3 × 3 is 27.

4 × 4 × 4 is 64.

64 is in the list: 4 × 4 × 4 is 64.

So ∛−64 = −4.

3 Check

Let's check: −4 times itself 3 times.

We get −64.

So the answer is right!

Let's look back.

First: look at the sign.

Then: list the cubes.

Last: check.