# What is the value of 0.1 to the power of 3?

The power of any number signifies how many times to use the number in a multiplication.

## Answer: 0.1 to the power of 3 is 0.001

Let's solve the above question by the power of quotient property.

**Explanation:**

Given, 0.1 to the power of 3.

First, convert 0.1 into a fraction.

0.1 = 1/10

You can use Cuemath's decimal to fraction calculator to write 0.1 as a fraction.

Hence 0.1 to the power of 3 can be written as (1/10)^{3}

Now, we will use the power of quotient property (x/y)^{m} = x^{m}/y^{m}.

(1/10)^{3} = (1/10) × (1/10) × (1/10)

= (1^{3}/10^{3})

= 1/1000

= 0.001

Therefore, (0.1)^{3} = (1/10)^{3 }= 0.001